| Publication | Date of Publication | Type |
|---|
| The regularity theory for the area functional (in geometric measure theory) | 2024-03-20 | Paper |
| A remark on the uniqueness of solutions to hyperbolic conservation laws | 2023-11-27 | Paper |
| On the Boundary Behavior of Mass-Minimizing Integral Currents | 2023-11-18 | Paper |
| Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik | 2023-11-07 | Paper |
| The regularity theory for the Mumford-Shah functional on the plane | 2023-08-28 | Paper |
| Excess decay for minimizing hypercurrents mod $2Q$ | 2023-08-16 | Paper |
| An elementary rectifiability lemma and some applications | 2023-07-06 | Paper |
| Anomalous dissipation for the forced 3D Navier-Stokes equations | 2023-06-05 | Paper |
| The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points | 2023-04-23 | Paper |
| Uniqueness of boundary tangent cones for 2-dimensional area-minimizing currents | 2023-03-24 | Paper |
| The regularity of minimal surfaces in higher codimension | 2023-03-17 | Paper |
| On nonuniqueness of Hölder continuous globally dissipative Euler flows | 2023-03-06 | Paper |
| Onsager critical solutions of the forced Navier-Stokes equations | 2022-12-16 | Paper |
| Nonclassical minimizing surfaces with smooth boundary | 2022-12-14 | Paper |
| Area‐Minimizing Currents mod 2Q: Linear Regularity Theory | 2022-04-25 | Paper |
| Smoothing does not give a selection principle for transport equations with bounded autonomous fields | 2022-03-22 | Paper |
| Geometric measure theory and differential inclusions | 2022-02-04 | Paper |
| Fine structure of the singular set of area minimizing hypersurfaces modulo $p$ | 2022-01-25 | Paper |
| Instability and nonuniqueness for the $2d$ Euler equations in vorticity form, after M. Vishik | 2021-12-09 | Paper |
| Endpoint regularity for \(2d\) Mumford-Shah minimizers: on a theorem of Andersson and Mikayelyan | 2021-11-16 | Paper |
| Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents | 2021-11-04 | Paper |
| An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity | 2021-11-04 | Paper |
| Weak stablity and closure in turbulence | 2021-08-03 | Paper |
| Almgren's center manifold in a simple setting | 2021-06-23 | Paper |
| Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem | 2021-05-17 | Paper |
| Positive solutions of transport equations and classical nonuniqueness of characteristic curves | 2021-04-27 | Paper |
| The Nash-Kuiper theorem and the Onsager conjecture | 2021-02-15 | Paper |
| Regularity of area minimizing currents mod \(p\) | 2020-12-16 | Paper |
| Regularity theory for \(2\)-dimensional almost minimal currents. III: Blowup | 2020-09-14 | Paper |
| The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System | 2020-06-21 | Paper |
| On Non-uniqueness of H\"{o}lder continuous globally dissipative Euler flows | 2020-06-11 | Paper |
| \(C^{1, \alpha }\) isometric embeddings of polar caps | 2020-02-13 | Paper |
| Lossless Analog Compression | 2020-01-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5242604 | 2019-11-12 | Paper |
| Min-max embedded geodesic lines in asymptotically conical surfaces | 2019-08-02 | Paper |
| On turbulence and geometry: from Nash to Onsager | 2019-07-10 | Paper |
| Boundary regularity of mass-minimizing integral currents and a question of Almgren | 2019-07-02 | Paper |
| Nonclassical minimizing surfaces with smooth boundary | 2019-06-22 | Paper |
| A direct approach to the anisotropic Plateau problem | 2019-04-24 | Paper |
| Onsager's Conjecture for Admissible Weak Solutions | 2019-03-19 | Paper |
| Min-max theory for minimal hypersurfaces with boundary | 2019-01-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4645557 | 2019-01-10 | Paper |
| Rectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued maps | 2019-01-03 | Paper |
| The Onsager theorem | 2018-12-19 | Paper |
| A Nash-Kuiper theorem for \(C^{1,\frac{1}{5}-\delta}\) immersions of surfaces in 3 dimensions | 2018-10-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5376161 | 2018-09-17 | Paper |
| Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations | 2018-09-06 | Paper |
| Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold | 2018-08-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3176729 | 2018-07-23 | Paper |
| Fractional Sobolev regularity for the Brouwer degree | 2018-02-19 | Paper |
| Partial regularity for mass-minimizing currents in Hilbert spaces | 2018-01-09 | Paper |
| Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation | 2018-01-09 | Paper |
| A direct approach to Plateau's problem | 2017-07-31 | Paper |
| Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents | 2017-07-06 | Paper |
| Continuous dissipative Euler flows and a conjecture of Onsager | 2017-06-08 | Paper |
| High dimensionality and h-principle in PDE | 2017-03-14 | Paper |
| The size of the singular set of area-minimizing currents | 2016-12-16 | Paper |
| Transport equations with integral terms: existence, uniqueness and stability | 2016-11-18 | Paper |
| Dissipative Euler Flows with Onsager-Critical Spatial Regularity | 2016-08-22 | Paper |
| The masterpieces of John Forbes Nash Jr | 2016-06-08 | Paper |
| Regularity of area minimizing currents. II: Center manifold | 2016-04-29 | Paper |
| Regularity of area minimizing currents. III: Blow-up | 2016-04-29 | Paper |
| Two-dimensional almost area minimizing currents | 2016-04-04 | Paper |
| Multiple valued functions and integral currents | 2016-03-08 | Paper |
| A Regularizing Property of the 2D-Eikonal Equation | 2015-10-23 | Paper |
| The \(h\)-principle and Onsager's conjecture | 2015-07-06 | Paper |
| Anomalous dissipation for \(1/5\)-Hölder Euler flows | 2015-07-06 | Paper |
| Global Ill‐Posedness of the Isentropic System of Gas Dynamics | 2015-06-22 | Paper |
| Endpoint regularity of $2$d Mumford-Shah minimizers | 2015-02-08 | Paper |
| Regularity of area minimizing currents I: gradient \(L^p\) estimates | 2015-01-07 | Paper |
| A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah energy | 2014-11-07 | Paper |
| Dissipative Euler flows and Onsager's conjecture | 2014-10-10 | Paper |
| Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy | 2014-01-10 | Paper |
| The existence of embedded minimal hypersurfaces | 2013-11-20 | Paper |
| Dissipative continuous Euler flows | 2013-09-23 | Paper |
| Density lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy | 2013-08-19 | Paper |
| Transporting microstructure and dissipative Euler flows | 2013-02-12 | Paper |
| The ℎ-principle and the equations of fluid dynamics | 2013-01-10 | Paper |
| h-Principle and Rigidity for C 1,α Isometric Embeddings | 2012-09-14 | Paper |
| Dissipative continuous Euler flows in two and three dimensions | 2012-05-06 | Paper |
| Almost-Schur lemma | 2012-02-14 | Paper |
| Center manifold: A case study | 2011-12-20 | Paper |
| Lower semicontinuous functionals for Almgren's multiple valued functions | 2011-11-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3096678 | 2011-11-11 | Paper |
| SBV regularity for Hamilton-Jacobi equations in \(\mathbb R^n\) | 2011-10-04 | Paper |
| Hamilton-Jacobi equations with obstacles | 2011-10-04 | Paper |
| Weak-strong uniqueness for measure-valued solutions | 2011-08-16 | Paper |
| 𝑄-valued functions revisited | 2011-05-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3057557 | 2010-11-25 | Paper |
| An extension of the identity Det = det | 2010-10-22 | Paper |
| Genus bounds for minimal surfaces arising from min-max constructions | 2010-08-11 | Paper |
| The Euler equations as a differential inclusion | 2010-05-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3559351 | 2010-05-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5188121 | 2010-03-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5188499 | 2010-03-10 | Paper |
| On admissibility criteria for weak solutions of the Euler equations | 2010-02-25 | Paper |
| Higher integrability and approximation of minimal currents | 2009-10-30 | Paper |
| Existence of optimal strategies for a fire confinement problem | 2009-05-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3548600 | 2008-12-16 | Paper |
| ODEs with Sobolev coefficients: the Eulerian and the Lagrangian approach | 2008-10-30 | Paper |
| Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications | 2008-10-28 | Paper |
| Estimates and regularity results for the DiPerna-Lions flow | 2008-09-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5301255 | 2008-04-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5455403 | 2008-04-03 | Paper |
| Rectifiable sets, densities and tangent measures | 2008-02-19 | Paper |
| Sharp upper bounds for a variational problem with singular perturbation | 2007-06-07 | Paper |
| Low-Regularity Solutions of the Periodic Camassa–Holm Equation | 2007-05-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5493494 | 2006-10-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5489497 | 2006-09-28 | Paper |
| Simple proof of two-well rigidity | 2006-09-28 | Paper |
| Regular selections for multiple-valued functions | 2006-09-27 | Paper |
| Oscillatory solutions to transport equations | 2006-06-19 | Paper |
| A \(C^{0}\) estimate for nearly umbilical surfaces | 2006-06-16 | Paper |
| Optimal rigidity estimates for nearly umbilical surfaces | 2006-02-07 | Paper |
| A quantitative compactness estimate for scalar conservation laws | 2005-06-30 | Paper |
| Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system | 2005-06-09 | Paper |
| Minimal entropy conditions for Burgers equation | 2005-05-03 | Paper |
| A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS | 2005-03-14 | Paper |
| Singular limit laminations, Morse index, and positive scalar curvature | 2005-02-23 | Paper |
| Well-Posedness for a Class of Hyperbolic Systems of Conservation Laws in Several Space Dimensions | 2005-01-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4463915 | 2004-06-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4455343 | 2004-03-16 | Paper |
| Structure of entropy solutions for multi-dimensional scalar conservation laws | 2004-01-05 | Paper |
| The rectifiability of entropy measures in one space dimension. | 2003-12-03 | Paper |
| On the optimality of velocity averaging lemmas. | 2003-11-25 | Paper |
| Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\) | 2003-09-26 | Paper |
| Structure of entropy solutions to the eikonal equation | 2003-08-20 | Paper |
| An example in the gradient theory of phase transitions | 2003-08-18 | Paper |
| Some remarks on the distributional Jacobian | 2003-07-01 | Paper |
| Some fine properties of currents and applications to distributional Jacobians | 2003-03-24 | Paper |
| Line energies for gradient vector fields in the plane | 2001-05-01 | Paper |
