| Publication | Date of Publication | Type |
|---|
| Monge-Ampère gravitation as a \(\Gamma \)-limit of good rate functions | 2024-01-09 | Paper |
| Linear inverse problems with Hessian-Schatten total variation | 2024-01-02 | Paper |
| Functions with bounded Hessian-Schatten variation: density, variational, and extremality properties | 2024-01-02 | Paper |
| Classical flows of vector fields with exponential or sub-exponential summability | 2023-09-18 | Paper |
| Stability of a class of action functionals depending on convex functions | 2023-06-23 | Paper |
| Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative | 2022-11-18 | Paper |
| Duality properties of metric Sobolev spaces and capacity | 2022-08-25 | Paper |
| On the quadratic random matching problem in two-dimensional domains | 2022-05-10 | Paper |
| New stability results for sequences of metric measure spaces with uniform Ricci bounds from below | 2022-05-05 | Paper |
| Optimal $C^\infty$-approximation of functions with exponentially or sub-exponentially integrable derivative | 2022-03-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5153957 | 2021-10-01 | Paper |
| Spatially Inhomogeneous Evolutionary Games | 2021-08-16 | Paper |
| \(\Gamma\)-convergence for a class of action functionals induced by gradients of convex functions | 2021-07-02 | Paper |
| Lectures on Optimal Transport | 2021-05-18 | Paper |
| Embedding of \(\mathrm{RCD}^\ast (K,N)\) spaces in \(L^2\) via eigenfunctions | 2021-04-14 | Paper |
| Critical weak-\(L^p\) differentiability of singular integrals | 2021-03-07 | Paper |
| CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN METRIC MEASURE SPACES | 2020-09-22 | Paper |
| Linear extension operators between spaces of Lipschitz maps and optimal transport | 2020-07-28 | Paper |
| Heat and entropy flows in Carnot groups | 2020-05-06 | Paper |
| Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces | 2020-01-31 | Paper |
| On the optimal map in the 2-dimensional random matching problem | 2019-11-14 | Paper |
| Finer estimates on the \(2\)-dimensional matching problem | 2019-10-07 | Paper |
| Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces | 2019-08-09 | Paper |
| A PDE approach to a 2-dimensional matching problem | 2019-02-28 | Paper |
| Anisotropic surface measures as limits of volume fractions | 2019-01-24 | Paper |
| Lectures on Elliptic Partial Differential Equations | 2019-01-23 | Paper |
| Weighted Sobolev spaces on metric measure spaces | 2019-01-09 | Paper |
| Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces | 2018-11-21 | Paper |
| Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and \(\mathrm{RCD}(K,\infty)\) spaces | 2018-10-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5376237 | 2018-09-17 | Paper |
| Gaussian optimizers for entropic inequalities in quantum information | 2018-09-13 | Paper |
| Continuity of nonlinear eigenvalues in \(\mathrm{CD}(K,\infty )\) spaces with respect to measured Gromov-Hausdorff convergence | 2018-05-25 | Paper |
| DC calculus | 2018-04-17 | Paper |
| Lecture notes on the DiPerna–Lions theory in abstract measure spaces | 2018-03-23 | Paper |
| On the Lagrangian structure of transport equations: the Vlasov-Poisson system | 2018-02-12 | Paper |
| Short-time behavior of the heat kernel and Weyl's law on \(\mathrm{RCD}^*(K,N)\) spaces | 2018-01-25 | Paper |
| Partial regularity for mass-minimizing currents in Hilbert spaces | 2018-01-09 | Paper |
| Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications | 2017-11-02 | Paper |
| Diffusion, optimal transport and Ricci curvature for metric measure space | 2017-07-14 | Paper |
| Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope | 2017-04-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2973953 | 2017-04-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2969764 | 2017-03-23 | Paper |
| Perimeter as relaxed Minkowski content in metric measure spaces | 2017-03-17 | Paper |
| On the regularity of Alexandrov surfaces with curvature bounded below | 2016-12-13 | Paper |
| Weak and strong convergence of derivations and stability of flows with respect to MGH convergence | 2016-12-07 | Paper |
| Gaussian-type isoperimetric inequalities in \(\mathsf{RCD}(K,\infty)\) probability spaces for positive \(K\) | 2016-11-09 | Paper |
| BMO-Type Norms Related to the Perimeter of Sets | 2016-06-10 | Paper |
| Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces | 2016-04-20 | Paper |
| On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces | 2016-03-08 | Paper |
| Lecture notes on variational models for incompressible Euler equations | 2016-01-27 | Paper |
| Existence and uniqueness of maximal regular flows for non-smooth vector fields | 2015-09-11 | Paper |
| On the duality between \(p\)-modulus and probability measures | 2015-09-11 | Paper |
| Some fine properties of BV functions on Wiener spaces | 2015-08-31 | Paper |
| Tensorization of Cheeger energies, the space \(H^{1, 1}\) and the area formula for graphs | 2015-07-13 | Paper |
| Continuity equations and ODE flows with non-smooth velocity | 2015-06-25 | Paper |
| BV functions and sets of finite perimeter in sub-Riemannian manifolds | 2015-06-22 | Paper |
| Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure | 2015-04-22 | Paper |
| Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds | 2015-01-06 | Paper |
| Perimeter of sets and BMO-type norms | 2014-10-24 | Paper |
| Well-posedness of Lagrangian flows and continuity equations in metric measure spaces | 2014-10-08 | Paper |
| Equivalent definitions of \(BV\) space and of total variation on metric measure spaces | 2014-07-25 | Paper |
| Metric measure spaces with Riemannian Ricci curvature bounded from below | 2014-06-13 | Paper |
| On a class of first order Hamilton-Jacobi equations in metric spaces | 2014-03-10 | Paper |
| Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below | 2014-02-25 | Paper |
| Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces | 2014-02-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2869750 | 2014-01-03 | Paper |
| A global existence result for the semigeostrophic equations in three dimensional convex domains | 2013-11-11 | Paper |
| Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces | 2013-10-17 | Paper |
| Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded Below—The Compact Case | 2013-07-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5298947 | 2013-06-25 | Paper |
| On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces | 2013-06-24 | Paper |
| Compactness results for normal currents and the Plateau problem in dual Banach spaces | 2013-06-19 | Paper |
| Flat chains of finite size in metric spaces | 2013-04-15 | Paper |
| Compactness of special functions of bounded higher variation | 2013-03-19 | Paper |
| A nonautonomous chain rule in \(W ^{1,p }\) and \(BV\) | 2013-03-18 | Paper |
| Corrigendum: Semiclassical Limit of Quantum Dynamics with Rough Potentials and Well‐Posedness of Transport Equations with Measure Initial Data | 2013-03-04 | Paper |
| Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case | 2013-01-17 | Paper |
| Bounded Variation with Respect to a Log-Concave Measure | 2013-01-17 | Paper |
| Convergence of Wigner Transforms in a Semiclassical Limit | 2012-09-14 | Paper |
| The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems | 2012-08-29 | Paper |
| Existence and Uniqueness Results for the Continuity Equation and Applications to the Chromatography System | 2012-08-29 | Paper |
| Infinite-dimensional porous media equations and optimal transportation | 2012-06-02 | Paper |
| Regularity of optimal transport maps and partial differential inclusions | 2012-05-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3090070 | 2011-08-26 | Paper |
| Semiclassical limit of quantum dynamics with rough potentials and well‐posedness of transport equations with measure initial data | 2011-08-16 | Paper |
| Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces | 2011-07-22 | Paper |
| Flat currents modulo \(p\) in metric spaces and filling radius inequalities | 2011-07-12 | Paper |
| Rectifiability of flat chains in Banach spaces with coefficients in \(\mathbb Z_p\) | 2011-06-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3001786 | 2011-05-31 | Paper |
| Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices | 2011-05-04 | Paper |
| Gamma-convergence of nonlocal perimeter functionals | 2011-02-17 | Paper |
| BV functions in a Hilbert space with respect to a Gaussian measure | 2011-01-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3057557 | 2010-11-25 | Paper |
| On the approximation of mean densities of random closed sets | 2010-11-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3055493 | 2010-11-08 | Paper |
| Locality of the perimeter in Carnot groups and chain rule | 2010-10-26 | Paper |
| Passage from Quantum to Classical Molecular Dynamics in the Presence of Coulomb Interactions | 2010-10-14 | Paper |
| Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System | 2010-09-30 | Paper |
| Uniqueness of signed measures solving the continuity equation for Osgood vector fields | 2010-09-19 | Paper |
| The theory of perimeters by Caccioppoli-de Giorgi and the recent developments | 2010-09-02 | Paper |
| Evolution problems in spaces of probability measures | 2010-08-19 | Paper |
| Towards a theory of BV functions in abstract Wiener spaces | 2010-08-19 | Paper |
| Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups | 2010-08-18 | Paper |
| Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability | 2010-07-23 | Paper |
| Almost everywhere well-posedness of continuity equations with measure initial data | 2010-03-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5188496 | 2010-03-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5188818 | 2010-03-05 | Paper |
| BV functions in abstract Wiener spaces | 2010-01-11 | Paper |
| Geodesics in the space of measure-preserving maps and plans | 2009-11-30 | Paper |
| Metric differentiability of Lipschitz maps defined on Wiener spaces | 2009-10-26 | Paper |
| Existence and stability for Fokker-Planck equations with log-concave reference measure | 2009-09-25 | Paper |
| Multiscale Young measures in almost periodic homogenization and applications | 2009-08-27 | Paper |
| Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane | 2009-08-04 | Paper |
| Construction of the parallel transport in the Wasserstein space | 2009-06-30 | Paper |
| Multiscale Young measures in homogenization of continuous stationary processes in compact spaces and applications | 2009-04-08 | Paper |
| Variational models for incompressible Euler equations | 2009-02-19 | Paper |
| On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions | 2009-02-10 | Paper |
| Outer Minkowski content for some classes of closed sets | 2008-12-01 | Paper |
| A gradient flow approach to an evolution problem arising in superconductivity | 2008-10-28 | Paper |
| Leaf superposition property for integer rectifiable currents | 2008-08-22 | Paper |
| Necessary optimality conditions for geodesics in weighted Wasserstein spaces | 2008-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5301254 | 2008-04-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5457440 | 2008-04-14 | Paper |
| On the regularity of the pressure field of Brenier's weak solutions to incompressible Euler equations | 2008-04-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5441008 | 2008-02-07 | Paper |
| Implicit constitutive equations in the modeling of bimodular materials: An application to biomaterials | 2008-02-07 | Paper |
| Very weak notions of differentiability | 2008-01-18 | Paper |
| Hamiltonian ODEs in the Wasserstein space of probability measures | 2008-01-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3594132 | 2007-08-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5494021 | 2006-10-17 | Paper |
| Stability of flows associated to gradient vector fields and convergence of iterated transport maps | 2006-10-04 | Paper |
| Partial regularity for quasi minimizers of perimeter: errata-corrige | 2006-09-28 | Paper |
| Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow | 2006-09-28 | Paper |
| Gradient flows with metric and differentiable structures, and applications to the Wasserstein space | 2006-09-28 | Paper |
| Traces and fine properties of a \(BD\) class of vector fields and applications | 2006-03-30 | Paper |
| Intrinsic regular hypersurfaces in Heisenberg groups | 2006-03-28 | Paper |
| On some recent developments of the theory of sets of finite perimeter | 2005-10-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4671466 | 2005-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4667206 | 2005-04-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4663947 | 2005-04-05 | Paper |
| A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS | 2005-03-14 | Paper |
| Existence of optimal transport maps for crystalline norms | 2005-02-28 | Paper |
| Transport equation and Cauchy problem for BV vector fields | 2005-02-02 | Paper |
| Well-Posedness for a Class of Hyperbolic Systems of Conservation Laws in Several Space Dimensions | 2005-01-20 | Paper |
| Optimal mass transportation in the Heisenberg group. | 2004-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4460895 | 2004-03-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4455343 | 2004-03-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4450995 | 2004-02-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4441888 | 2004-01-08 | Paper |
| Weak differentiability of BV functions on stratified groups | 2003-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4429176 | 2003-09-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4428798 | 2003-09-22 | Paper |
| A viscosity property of minimizing micromagnetic configurations | 2003-09-15 | Paper |
| Some regularity results for minimal crystals | 2003-08-19 | Paper |
| A direct variational approach to a problem arising in image reconstruction | 2003-06-29 | Paper |
| Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2--8, 2001 | 2003-06-25 | Paper |
| Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford-Shah functional | 2003-06-02 | Paper |
| Higher regularity of solutions of free discontinuity problems | 2003-01-26 | Paper |
| Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces | 2003-01-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4424462 | 2003-01-01 | Paper |
| Fine properties of sets of finite perimeter in doubling metric measure spaces | 2002-08-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4549190 | 2002-08-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4538000 | 2002-07-11 | Paper |
| Currents in metric spaces | 2002-05-14 | Paper |
| Connected components of sets of finite perimeter and applications to image processing | 2002-02-27 | Paper |
| On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property | 2001-10-14 | Paper |
| On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model | 2001-08-27 | Paper |
| Rectifiable sets in metric and Banach spaces | 2001-08-08 | Paper |
| Line energies for gradient vector fields in the plane | 2001-05-01 | Paper |
| Variational Approximation of a Second Order Free Discontinuity Problem in Computer Vision | 2001-03-19 | Paper |
| On a volume-constrained variational problem | 2000-09-26 | Paper |
| Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi | 2000-09-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4499117 | 2000-08-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4944340 | 2000-06-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4954179 | 2000-05-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4947578 | 2000-04-25 | Paper |
| Approximation problems for curvature varifolds | 2000-03-13 | Paper |
| Partial regularity for quasi minimizers of perimeter | 2000-02-07 | Paper |
| A geometrical approach to monotone functions in \(\mathbb{R}^n\) | 1999-09-23 | Paper |
| Special functions with bounded variation and with weakly differentiable traces on the jump set | 1999-03-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4208483 | 1999-03-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4380785 | 1999-01-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4364772 | 1998-09-24 | Paper |
| Curvature and distance function from a manifold | 1998-09-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4364771 | 1998-07-13 | Paper |
| Fine properties of functions with bounded deformation | 1997-12-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4296235 | 1997-11-11 | Paper |
| Level set approach to mean curvature flow in arbitrary codimension | 1997-08-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4332716 | 1997-04-10 | Paper |
| Lower semicontinuity problems in Sobolev spaces with respect to a measure | 1996-08-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4883919 | 1996-08-22 | Paper |
| A new proof of the SBV compactness theorem | 1996-05-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4311115 | 1996-01-21 | Paper |
| On the lower semicontinuity of quasiconvex integrals in SBV(Ω, Rk) | 1995-08-08 | Paper |
| Gamma-convergence and the least squares method | 1995-05-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4279535 | 1995-02-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4287680 | 1994-05-12 | Paper |
| An optimal design problem with perimeter penalization | 1994-03-01 | Paper |
| On the singularities of convex functions | 1993-06-29 | Paper |
| On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals | 1993-05-02 | Paper |
| On some properties of convex functions | 1993-02-18 | Paper |
| Hölder continuity of solutions of one-dimensional Lagrange problems of calculus of variations | 1993-01-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3992271 | 1992-07-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3972957 | 1992-06-26 | Paper |
| A boundary-value problem for nematic liquid crystals with a variable degree of orientation | 1992-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4710887 | 1992-06-25 | Paper |
| Functionals with linear growth defined on vector valued BV functions | 1991-01-01 | Paper |
| Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation | 1990-01-01 | Paper |
| Regularity of solutions of a degenerate elliptic variational problem | 1990-01-01 | Paper |
| Existence theory for a new class of variational problems | 1990-01-01 | Paper |
| Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence | 1990-01-01 | Paper |
| Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization | 1990-01-01 | Paper |
| Approximation of functional depending on jumps by elliptic functional via t-convergence | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3211883 | 1990-01-01 | Paper |
| A General Chain Rule for Distributional Derivatives | 1990-01-01 | Paper |
| Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands | 1989-01-01 | Paper |
| Variational problems in SBV and image segmentation | 1989-01-01 | Paper |
| Weak lower semicontinuous envelope of functionals defined on a space of measures | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3032888 | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3202752 | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3781638 | 1988-01-01 | Paper |
| A lower closure theorem for autonomous orientor fields | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3198422 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3784710 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3776125 | 1985-01-01 | Paper |
