| Publication | Date of Publication | Type |
|---|
| Flow by Gauss curvature to the \(L_p\) dual Minkowski problem | 2024-03-14 | Paper |
| Existence of convex hypersurfaces with prescribed centroaffine curvature | 2024-01-16 | Paper |
| C2,α$C^{2,\alpha }$ regularity of free boundaries in optimal transportation | 2024-01-02 | Paper |
| Regularity of optimal mapping between hypercubes | 2023-11-03 | Paper |
| C^{1,\alpha} Regularity of convex hypersurfaces with prescribed curvature measures | 2023-05-12 | Paper |
| Global \(C^{1,\alpha}\) regularity for Monge-Ampère equation and convex envelope | 2022-04-08 | Paper |
| A class of optimal transportation problems on the sphere | 2022-03-21 | Paper |
| The $L_p$-Minkowski problem with super-critical exponents | 2022-03-09 | Paper |
| A boundary expansion of solutions to nonlinear singular elliptic equations | 2022-01-24 | Paper |
| Global regularity for the Monge-Ampère equation with natural boundary condition | 2021-12-09 | Paper |
| Regularity of free boundary for the Monge-Amp\`ere obstacle problem | 2021-11-20 | Paper |
| The Christoffel problem by the fundamental solution of the Laplace equation | 2021-07-08 | Paper |
| Light Refraction is Nonlinear Optimisation | 2021-07-01 | Paper |
| A priori estimate for the complex Monge-Ampère equation | 2021-06-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5855461 | 2021-03-18 | Paper |
| On the four vertex theorem for curves on locally convex surfaces | 2021-03-04 | Paper |
| New proof for the regularity of Monge-Ampère type equations | 2020-12-04 | Paper |
| Moser-Trudinger inequality for the complex Monge-Ampère equation | 2020-10-15 | Paper |
| Asymptotic convergence for a class of fully nonlinear curvature flows | 2020-03-05 | Paper |
| Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems | 2020-02-26 | Paper |
| Global regularity of optimal mappings in non-convex domains | 2019-11-27 | Paper |
| Convergence Rate Estimates for Aleksandrov's Solution to the Monge--Ampère Equation | 2019-02-08 | Paper |
| Continuity for the Monge mass transfer problem in two dimensions | 2019-01-22 | Paper |
| Boundary regularity for the second boundary-value problem of Monge-Amp\`ere equations in dimension two | 2018-06-25 | Paper |
| A priori estimates and existence of solutions to the prescribed centroaffine curvature problem | 2017-12-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4597147 | 2017-12-11 | Paper |
| Global smoothness for a singular Monge-Ampère equation | 2017-09-28 | Paper |
| Multiple solutions of the \(L_{p}\)-Minkowski problem | 2016-11-18 | Paper |
| Convexity of the support of the displacement interpolation: counterexamples | 2016-04-22 | Paper |
| Regularity of the homogeneous Monge-Ampère equation | 2016-03-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2786813 | 2016-02-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3463467 | 2016-01-14 | Paper |
| A potential theory for the \(k\)-curvature equation | 2015-12-23 | Paper |
| Strict convexity and \(C^{1,\alpha}\) regularity of potential functions in optimal transportation under condition A3w | 2015-11-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2950055 | 2015-10-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5500034 | 2015-08-05 | Paper |
| Regularity and analyticity of solutions in a direction for elliptic equations | 2015-08-04 | Paper |
| Nonuniqueness of solutions to the \(L_p\)-Minkowski problem | 2015-07-13 | Paper |
| A Priori Estimates for Fully Nonlinear Parabolic Equations | 2015-05-22 | Paper |
| On asymptotic behaviour and \(W^{2, p}\) regularity of potentials in optimal transportation | 2015-03-02 | Paper |
| Regularity in Monge's mass transfer problem | 2014-11-20 | Paper |
| Existence of entire solutions to the Monge-Ampère equation | 2014-09-01 | Paper |
| Counterexample to the convexity of level sets of solutions to the mean curvature equation | 2014-08-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5494674 | 2014-07-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5418466 | 2014-06-03 | Paper |
| Optimal boundary regularity for nonlinear singular elliptic equations | 2014-04-14 | Paper |
| Bernstein theorem and regularity for a class of Monge-Ampère equations | 2013-08-26 | Paper |
| Answer to the questions of Yanyan Li and Luc Nguyen in arXiv:1302.1603 | 2013-02-27 | Paper |
| Rotationally symmetric solutions to the \(L_p\)-Minkowski problem | 2013-01-18 | Paper |
| Response to a question of Yanyan Li and Luc Nguyen in their paper "A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound", arXiv:1212.0460 | 2012-12-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3144829 | 2012-12-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4647944 | 2012-11-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2900298 | 2012-07-21 | Paper |
| The mean curvature measure | 2012-04-20 | Paper |
| Convex solutions to the mean curvature flow | 2011-10-20 | Paper |
| On the existence and nonexistence of extremal metrics on toric Kähler surfaces | 2011-03-14 | Paper |
| Moser-Trudinger type inequalities for the Hessian equation | 2010-09-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3582134 | 2010-09-02 | Paper |
| On the reflector shape design | 2010-08-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3581207 | 2010-08-16 | Paper |
| Partial regularity for elliptic equations | 2010-07-23 | Paper |
| InteriorC2,αRegularity for Potential Functions in Optimal Transportation | 2010-04-08 | Paper |
| Singularity profile in the mean curvature flow | 2009-12-22 | Paper |
| The k-Hessian Equation | 2009-12-18 | Paper |
| On the second boundary value problem for Monge-Ampère type equations and optimal transportation | 2009-11-30 | Paper |
| A class of Sobolev type inequalities | 2009-10-01 | Paper |
| On strict convexity and continuous differentiability of potential functions in optimal transportation | 2009-08-27 | Paper |
| Boundary regularity for the Monge-Ampère and affine maximal surface equations | 2009-07-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3626611 | 2009-05-22 | Paper |
| On Harnack inequalities and singularities of admissible metrics in the Yamabe problem | 2009-05-06 | Paper |
| Quasilinear elliptic equations with signed measure | 2009-02-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3536061 | 2008-11-17 | Paper |
| Continuity Estimates for the Monge–Ampère Equation | 2008-03-27 | Paper |
| The Yamabe problem for higher order curvatures | 2007-12-05 | Paper |
| Schauder estimates for elliptic and parabolic equations | 2007-08-20 | Paper |
| A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry | 2006-10-24 | Paper |
| The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry | 2006-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5472725 | 2006-06-12 | Paper |
| Enclosed convex hypersurfaces with maximal affine area | 2006-03-21 | Paper |
| Regularity of potential functions of the optimal transportation problem | 2005-08-22 | Paper |
| The affine Plateau problem | 2005-03-31 | Paper |
| Convex hypersurfaces of prescribed Weingarten curvatures | 2005-02-09 | Paper |
| The Dirichlet Problem for Degenerate Hessian Equations | 2005-01-20 | Paper |
| Interior curvature bounds for a class of curvature equations | 2005-01-14 | Paper |
| On the design of a reflector antenna. II | 2004-12-16 | Paper |
| Kähler--Ricci solitons on toric manifolds with positive first Chern class | 2004-10-01 | Paper |
| Affine complete locally convex hypersurfaces | 2003-08-17 | Paper |
| On the weak continuity of elliptic operators and applications to potential theory | 2003-05-22 | Paper |
| A variational theory of the Hessian equation | 2003-01-28 | Paper |
| Hessian measures. III | 2002-11-28 | Paper |
| On locally convex hypersurfaces with boundary | 2002-10-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4542776 | 2002-09-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4549199 | 2002-08-27 | Paper |
| The Bernstein problem for affine maximal hypersurfaces | 2002-02-07 | Paper |
| On the Monge mass transfer problem | 2001-11-12 | Paper |
| On the Dirichlet problem for degenerate Monge-Ampère equations. | 2000-12-06 | Paper |
| Hessian measures. II | 2000-07-13 | Paper |
| A logarithmic Gauss curvature flow and the Minkowski problem. | 2000-01-01 | Paper |
| Hessian measures. I | 1999-07-12 | Paper |
| Interior gradient estimates for mean curvature equations | 1999-03-17 | Paper |
| On a Monge-Ampère equation arising in geometric optics | 1998-11-10 | Paper |
| A Poincaré type inequality for Hessian integrals | 1998-09-07 | Paper |
| Existence for a free boundary problem in ground freezing | 1998-07-14 | Paper |
| Critical exponent in a Stefan problem with kinetic condition | 1998-01-11 | Paper |
| On the generalized Stepanov theorem | 1997-12-11 | Paper |
| Minkowski problems for complete noncompact convex hypersurfaces | 1997-10-20 | Paper |
| On the design of a reflector antenna | 1997-03-31 | Paper |
| Existence and Blow-Up of Solutions to Two-Phase Nonequilibrium Problems | 1997-03-09 | Paper |
| Existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature | 1996-12-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4884693 | 1996-11-18 | Paper |
| REGULARITY FOR MONGE-AMPERE EQUATION NEAR THE BOUNDARY | 1996-08-29 | Paper |
| Existence of multiple solutions to nonlinear elliptic equations of nondivergence form | 1996-01-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4278964 | 1995-09-21 | Paper |
| Some Counterexamples to the Regularity of Monge-Ampere Equations | 1995-04-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4308489 | 1995-02-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5287857 | 1994-11-02 | Paper |
| Neumann problem of elliptic equations with limit nonlinearity in boundary condition | 1994-10-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4300995 | 1994-07-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4271812 | 1994-01-10 | Paper |
| Sharp constant in a Sobolev inequality | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4024203 | 1993-02-22 | Paper |
| Existence of positive solutions to nonlinear elliptic equations involving critical Sobolev exponents | 1993-02-18 | Paper |
| Existence of multiple solutions to the equations of Monge-Ampère type | 1993-01-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4016069 | 1992-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4010150 | 1992-09-27 | Paper |
| Neumann problems of semilinear elliptic equations involving critical Sobolev exponents | 1992-06-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4731522 | 1988-01-01 | Paper |
