| Publication | Date of Publication | Type |
|---|
| Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model | 2023-07-20 | Paper |
| Dislocation microstructures and strain-gradient plasticity with one active slip plane | 2022-03-23 | Paper |
| Data-driven finite elasticity | 2020-05-15 | Paper |
| Local strong solutions to a quasilinear degenerate fourth-order thin-film equation | 2020-04-22 | Paper |
| Symmetric div-quasiconvexity and the relaxation of static problems | 2020-02-18 | Paper |
| Optimal-Order Finite Difference Approximation of Generalized Solutions to the Biharmonic Equation in a Cube | 2020-01-21 | Paper |
| Cauchy-Born Rule from Microscopic Models with Non-convex Potentials | 2019-10-29 | Paper |
| Estimates for the Green's function of the discrete Bilaplacian in dimensions 2 and 3 | 2019-05-16 | Paper |
| Data-driven problems in elasticity | 2018-07-25 | Paper |
| Energy bounds for a compressed elastic film on a substrate | 2018-02-09 | Paper |
| Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities | 2017-07-17 | Paper |
| Homogenization of vector-valued partition problems and dislocation cell structures in the plane | 2017-05-23 | Paper |
| Interpolatory estimates, Riesz transforms and wavelet projections | 2017-03-13 | Paper |
| A note on the optimal constants in Korn\'s and geometric rigidity estimates in bounded and unbounded domains | 2016-07-14 | Paper |
| Strict Convexity of the Surface Tension for Non-convex Potentials | 2016-06-30 | Paper |
| Gradient Theory for Geometrically Nonlinear Plasticity via the Homogenization of Dislocations | 2016-01-06 | Paper |
| Microstructure in Plasticity, a Comparison between Theory and Experiment | 2016-01-06 | Paper |
| Folding patterns in partially delaminated thin films | 2015-12-20 | Paper |
| On a Differential Inclusion Related to the Born--Infeld Equations | 2014-11-04 | Paper |
| Confined structures of least bending energy | 2014-07-28 | Paper |
| Korn's second inequality and geometric rigidity with mixed growth conditions | 2014-06-27 | Paper |
| Mathematics is everywhere | 2014-06-03 | Paper |
| Almost Conical Deformations of Thin Sheets with Rotational Symmetry | 2014-05-09 | Paper |
| Conical singularities in thin elastic sheets | 2014-04-14 | Paper |
| Derivation of a rod theory for biphase materials with dislocations at the interface | 2013-11-05 | Paper |
| Finite range decomposition for families of gradient Gaussian measures | 2013-01-18 | Paper |
| On the commutability of homogenization and linearization in finite elasticity | 2012-11-05 | Paper |
| Thin vibrating plates: long time existence and convergence to the von Kármán plate equations | 2012-06-11 | Paper |
| Striped periodic minimizers of a two-dimensional model for martensitic phase transitions | 2012-02-10 | Paper |
| Large Time Existence for Thin Vibrating Plates | 2011-12-28 | Paper |
| Compensated Compactness, Separately Convex Functions and Interpolatory Estimates between Riesz Transforms and Haar Projections | 2011-12-14 | Paper |
| Singular kernels, multiscale decomposition of microstructure, and dislocation models | 2011-10-04 | Paper |
| Monotone curves | 2011-09-06 | Paper |
| The uniform Korn-Poincaré inequality in thin domains | 2011-06-01 | Paper |
| The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity | 2011-05-05 | Paper |
| The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\) | 2011-03-03 | Paper |
| Strict convexity of the free energy for a class of non-convex gradient models | 2009-10-02 | Paper |
| Stability of slender bodies under compression and validity of the von Kármán theory | 2009-08-27 | Paper |
| Do projections stay close together? | 2009-01-16 | Paper |
| Convergence of equilibria of three-dimensional thin elastic beams | 2008-08-21 | Paper |
| Convergence of Equilibria of Thin Elastic Plates - The Von Karman Case | 2008-08-07 | Paper |
| Existence of minimizers for a polyconvex energy in a crystal with dislocations | 2008-04-03 | Paper |
| Strict convexity of the free energy for non-convex gradient models at moderate $\beta$ | 2008-01-08 | Paper |
| Convergence of equilibria for planar thin elastic beams | 2007-11-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5756272 | 2007-09-04 | Paper |
| Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\) | 2007-04-10 | Paper |
| Scaling of the Energy for Thin Martensitic Films | 2007-04-02 | Paper |
| Rigorous Derivation of Föppl’s Theory for Clamped Elastic Membranes Leads to Relaxation | 2007-04-02 | Paper |
| Derivation of a rod theory for multiphase materials | 2007-01-18 | Paper |
| A variational model for dislocations in the line tension limit | 2006-09-04 | Paper |
| A \(C^{0}\) estimate for nearly umbilical surfaces | 2006-06-16 | Paper |
| A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence | 2006-05-26 | Paper |
| Lower semicontinuity and existence of minimizers in incremental finite‐strain elastoplasticity | 2006-05-16 | Paper |
| Self-similar folding patterns and energy scaling in compressed elastic sheets | 2006-03-08 | Paper |
| Optimal rigidity estimates for nearly umbilical surfaces | 2006-02-07 | Paper |
| Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines | 2006-01-10 | Paper |
| Regularity properties of isometric immersions | 2005-11-02 | Paper |
| $\Gamma$-Limit of a Phase-Field Model of Dislocations | 2005-09-16 | Paper |
| Parabolic systems with nowhere smooth solutions | 2005-08-17 | Paper |
| Repulsive Interaction of Néel Walls, and the Internal Length Scale of the Cross-Tie Wall | 2005-03-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4650446 | 2005-02-11 | Paper |
| On the \(\Gamma\)-convergence of discrete dynamics and variational integrators | 2005-02-11 | Paper |
| A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity | 2004-11-23 | Paper |
| \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap | 2004-11-23 | Paper |
| Rigidity estimate for two incompatible wells | 2004-09-22 | Paper |
| Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence | 2004-07-07 | Paper |
| Rank-one convexity implies quasi-convexity on certain hypersurfaces | 2004-03-08 | Paper |
| Convex integration for Lipschitz mappings and counterexamples to regularity | 2004-03-08 | Paper |
| Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence. | 2003-12-18 | Paper |
| Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\) | 2003-09-26 | Paper |
| Studying Nonlinear pde by Geometry in Matrix Space | 2003-07-01 | Paper |
| Concentration phenomena for the volume functional in unbounded domains: identification of concentration points. | 2003-05-25 | Paper |
| Critique of the paper `The relaxation of non-quasiconvex variational integrals' | 2003-03-18 | Paper |
| A new approach to variational problems with multiple scales | 2003-01-28 | Paper |
| A reduced theory for thin-film micromagnetics | 2003-01-28 | Paper |
| A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity | 2003-01-28 | Paper |
| Local Stress Regularity in Scalar Nonconvex Variational Problems | 2003-01-05 | Paper |
| Energy scaling of compressed elastic films -- three-dimensional elasticity and reduced theories | 2002-12-01 | Paper |
| Concentration of low energy extremals: Identification of concentration points | 2002-09-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4538029 | 2002-07-11 | Paper |
| Rigorous derivation of nonlinear plate theory and geometric rigidity | 2002-05-22 | Paper |
| A compactness result in the gradient theory of phase transitions | 2002-04-09 | Paper |
| Quasiconvexity is not invariant under transposition | 2002-02-19 | Paper |
| The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity | 2002-01-01 | Paper |
| Discrete-to-continuum limit of magnetic forces. | 2002-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2760083 | 2001-12-18 | Paper |
| Optimal existence theorems for nonhomogeneous differential inclusions | 2001-12-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4942220 | 2001-09-18 | Paper |
| Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates | 2001-03-28 | Paper |
| Convex integration with constraints and applications to phase transitions and partial differential equations | 2001-01-24 | Paper |
| Two–dimensional modelling of soft ferromagnetic films | 2001-01-01 | Paper |
| Sharp stability results for almost conformal maps in even dimensions | 2000-12-11 | Paper |
| Concentration of low energy extremals | 2000-06-13 | Paper |
| The two-well problem in three dimensions | 2000-04-09 | Paper |
| Uniqueness and maximal regularity for nonlinear elliptic systems of n--Laplace type with measure valued right hand side | 2000-03-29 | Paper |
| Spatially discrete wave maps on (1+2)-dimensional space-time | 2000-03-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4937707 | 2000-02-13 | Paper |
| $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures | 1999-11-23 | Paper |
| Weak compactness of wave maps and harmonic maps | 1999-11-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4260840 | 1999-09-01 | Paper |
| A sharp version of Zhang’s theorem on truncating sequences of gradients | 1999-08-31 | Paper |
| An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity | 1999-07-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4208239 | 1999-03-08 | Paper |
| Weak convergence of wave maps from \((1+2)\)-dimensional Minkowski space to Riemannian manifolds | 1999-02-23 | Paper |
| Nonlinear elliptic systems with measure-valued right hand side | 1998-09-20 | Paper |
| Unexpected solutions of first and second order partial differential equations | 1998-08-06 | Paper |
| Radial Symmetry and Decay Rate of Variational Ground States in the Zero Mass Case | 1998-05-11 | Paper |
| Analysis of Concentration and Oscillation Effects Generated by Gradients | 1998-05-11 | Paper |
| Global existence of wave maps in 1+2 dimensions with finite energy data | 1998-04-22 | Paper |
| The \(p\)-harmonic system with measure-valued right hand side | 1998-01-18 | Paper |
| On surfaces of finite total curvature | 1997-01-09 | Paper |
| Invertibility and a Topological Property of Sobolev Maps | 1996-07-31 | Paper |
| Microstructures with finite surface energy: The two-well problem | 1996-06-30 | Paper |
| An existence theory for nonlinear elasticity that allows for cavitation | 1996-04-29 | Paper |
| Estimates for Green's matrices of elliptic systems by \(L^ p\) theory | 1996-04-16 | Paper |
| On a new class of elastic deformations not allowing for cavitation | 1996-02-01 | Paper |
| The influence of surface energy on stress-free microstructures in shape memory alloys | 1996-01-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4847877 | 1995-09-24 | Paper |
| Singular perturbations as a selection criterion for periodic minimizing sequences | 1995-09-18 | Paper |
| Relaxation and regularization of nonconvex variational problems | 1995-07-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4313270 | 1995-05-01 | Paper |
| Internal variables and fine-scale oscillations in micromagnetics | 1995-03-19 | Paper |
| Combined effects of homogenization and singular perturbations in elasticity. | 1994-12-06 | Paper |
| Surface energy and microstructure in coherent phase transitions | 1994-10-10 | Paper |
| On the singular support of the distributional determinant | 1994-07-20 | Paper |
| Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\) | 1993-10-17 | Paper |
| Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity | 1993-09-15 | Paper |
| Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $ | 1993-01-16 | Paper |
| Sobolev maps with integer degree and applications to Skyrme’s problem | 1992-06-28 | Paper |
| A uniqueness proof for the Wulff Theorem | 1992-06-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3363295 | 1992-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3210369 | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5748433 | 1990-01-01 | Paper |
| Higher integrability of determinants and weak convergence in L1. | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3200125 | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3210217 | 1990-01-01 | Paper |
| Strong convergence and arbitrarily slow decay of energy for a class of bilinear control problems | 1989-01-01 | Paper |
| A surprising higher integrability property of mappings with positive determinant | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4728665 | 1988-01-01 | Paper |
| Homogenization of nonconvex integral functionals and cellular elastic materials | 1987-01-01 | Paper |