| Publication | Date of Publication | Type |
|---|
| Critical sets of elliptic equations with rapidly oscillating coefficients in two dimensions | 2024-01-08 | Paper |
| <scp>Isotropic‐Nematic</scp> Phase Transition and Liquid Crystal Droplets | 2023-10-11 | Paper |
| Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem | 2023-06-20 | Paper |
| Nematic liquid crystal flow with partially free boundary | 2023-03-10 | Paper |
| Boundary Harnack principle on nodal domains | 2022-11-29 | Paper |
| Relaxed energies, defect measures, and minimal currents | 2022-08-12 | Paper |
| Nematic liquid crystal flow with partially free boundary | 2022-07-23 | Paper |
| Uniform boundary controllability and homogenization of wave equations | 2022-05-31 | Paper |
| Erratum to: ``Uniform boundary controllability and homogenization of wave equations | 2022-05-31 | Paper |
| Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two | 2022-04-25 | Paper |
| Upper bounds of nodal sets for eigenfunctions of eigenvalue problems | 2022-04-05 | Paper |
| Critical Sets of Solutions of Elliptic Equations in Periodic Homogenization | 2022-03-24 | Paper |
| Revisit the regularity theory of Schoen-Uhlenbeck | 2022-03-21 | Paper |
| Defects in Liquid Crystal Flows | 2022-03-21 | Paper |
| The two-dimensional liquid crystal droplet problem with a tangential boundary condition | 2022-03-14 | Paper |
| Riesz transform on exterior Lipschitz domains | 2022-03-01 | Paper |
| Large \(m\) asymptotics for minimal partitions of the Dirichlet eigenvalue | 2022-01-24 | Paper |
| On Current Developments in Partial Differential Equations | 2020-10-27 | Paper |
| On the viscous Camassa-Holm equations with fractional diffusion | 2020-03-30 | Paper |
| Riesz transform under perturbations via heat kernel regularity | 2019-12-19 | Paper |
| Vanishing Viscosity Limit for Incompressible Viscoelasticity in Two Dimensions | 2019-12-05 | Paper |
| On Ancient Solutions of the Heat Equation | 2019-11-19 | Paper |
| Harmonic maps in connection of phase transitions with higher dimensional potential wells | 2019-11-15 | Paper |
| Superfluids passing an obstacle and vortex nucleation | 2019-11-14 | Paper |
| Regularity for Shape Optimizers: The Degenerate Case | 2019-10-16 | Paper |
| Nodal sets and doubling conditions in elliptic homogenization | 2019-07-04 | Paper |
| Solvability of the Stokes Immersed Boundary Problem in Two Dimensions | 2019-01-11 | Paper |
| Regularity for Shape Optimizers: The Nondegenerate Case | 2018-08-16 | Paper |
| Defects of liquid crystals with variable degree of orientation | 2017-10-25 | Paper |
| On the Two‐Dimensional Muskat Problem with Monotone Large Initial Data | 2017-06-21 | Paper |
| Extremum problems of Laplacian eigenvalues and generalized Polya conjecture | 2017-06-15 | Paper |
| Recent developments of analysis for hydrodynamic flow of nematic liquid crystals | 2017-01-13 | Paper |
| Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three | 2016-08-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2990229 | 2016-07-29 | Paper |
| Finite time singularity of the nematic liquid crystal flow in dimension three | 2016-07-26 | Paper |
| On the Betti numbers of level sets of solutions to elliptic equations | 2016-03-29 | Paper |
| Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data | 2016-02-03 | Paper |
| On the Cauchy problem for two dimensional incompressible viscoelastic flows | 2016-01-14 | Paper |
| Structure of helicity and global solutions of incompressible Navier-Stokes equation | 2015-11-04 | Paper |
| Nodal sets of Steklov eigenfunctions | 2015-10-14 | Paper |
| Global small solutions of 2-D incompressible MHD system | 2015-08-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5500026 | 2015-08-05 | Paper |
| Global small solutions to a complex fluid model in three dimensional | 2015-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4982982 | 2015-04-14 | Paper |
| Scaling Limit for Compressible Viscoelastic Fluids | 2014-11-07 | Paper |
| Regularity and existence of global solutions to the Ericksen-Leslie system in \({\mathbb{R}^2}\) | 2014-09-19 | Paper |
| Periodic Homogenization of Green and Neumann Functions | 2014-08-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5494618 | 2014-07-28 | Paper |
| Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case | 2014-05-02 | Paper |
| Global Existence for Two Dimensional Incompressible Magnetohydrodynamic Flows with Zero Magnetic Diffusivity | 2014-04-30 | Paper |
| Estimates of eigenvalues and eigenfunctions in periodic homogenization | 2013-09-02 | Paper |
| Homogenization of elliptic systems with Neumann boundary conditions | 2013-08-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4647922 | 2012-11-08 | Paper |
| Convergence rates in \(L ^{2}\) for elliptic homogenization problems | 2012-11-05 | Paper |
| Some Analytical Issues for Elastic Complex Fluids | 2012-06-25 | Paper |
| Phase transition for potentials of high-dimensional wells | 2012-05-23 | Paper |
| Erratum: On the Dirichlet problem for minimal graphs in hyperbolic space | 2012-04-04 | Paper |
| Global mild solutions of Navier‐Stokes equations | 2011-08-16 | Paper |
| Existence of dyons in the coupled Georgi-Glashow-Skyrme model | 2011-05-05 | Paper |
| The geometry of solutions to a segregation problem for nondivergence systems | 2011-04-13 | Paper |
| Global solutions of the evolutionary Faddeev model with small initial data | 2011-04-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3084648 | 2011-03-25 | Paper |
| On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals | 2011-01-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3057571 | 2010-11-25 | Paper |
| Traveling wave solutions of the Schrödinger map equation | 2010-11-10 | Paper |
| Liquid crystal flows in two dimensions | 2010-09-10 | Paper |
| Analysis on the junctions of domain walls | 2010-07-23 | Paper |
| Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries | 2010-07-22 | Paper |
| Skyrmions in Gross-Pitaevskii functionals | 2010-07-08 | Paper |
| On regularity and singularity of free boundaries in obstacle problems | 2010-04-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3645649 | 2009-11-18 | Paper |
| On the isometric embedding of torus in \(\mathbb R^3\) | 2009-10-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3626745 | 2009-05-22 | Paper |
| Nonlocal heat flows preserving the \(L^2\) energy | 2009-02-19 | Paper |
| Universal growth law for knot energy of Faddeev type in general dimensions | 2009-01-23 | Paper |
| Numerical approximations of a norm-preserving gradient flow and applications to an optimal partition problem | 2009-01-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3536054 | 2008-11-17 | Paper |
| The FENE dumbbell model near equilibrium | 2008-09-09 | Paper |
| On the global existence of smooth solution to the 2-D FENE dumbbell model | 2008-07-30 | Paper |
| On the initial‐boundary value problem of the incompressible viscoelastic fluid system | 2008-03-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5444685 | 2008-02-25 | Paper |
| Nonlinear non-local elliptic equation modelling electrostatic actuation | 2008-02-08 | Paper |
| Magnetic Field‐Induced Instabilities in Liquid Crystals | 2007-09-24 | Paper |
| Solutions of perturbed Schrödinger equations with critical nonlinearity | 2007-08-17 | Paper |
| An optimal partition problem for eigenvalues | 2007-08-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5297461 | 2007-07-18 | Paper |
| Energy splitting, substantial inequality, and minimization for the Faddeev and Skyrme models | 2007-05-31 | Paper |
| On a micro-macro model for polymeric fluids near equilibrium | 2007-05-11 | Paper |
| Static knot energy, Hopf charge, and universal growth law | 2007-05-10 | Paper |
| On the number of interior peak solutions for a singularly perturbed Neumann problem | 2007-02-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3409167 | 2006-11-08 | Paper |
| Stable stationary harmonic maps to spheres | 2006-10-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5482640 | 2006-08-28 | Paper |
| Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain | 2006-01-23 | Paper |
| Multiple time scale dynamics in coupled Ginzburg-Landau equations | 2006-01-16 | Paper |
| Topology of Sobolev mappings. IV | 2005-11-30 | Paper |
| On hydrodynamics of viscoelastic fluids | 2005-11-15 | Paper |
| A Liouville type theorem for minimizing maps | 2005-09-27 | Paper |
| The Faddeev knots as stable solitons: existence theorems | 2005-05-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4674082 | 2005-05-09 | Paper |
| Soliton dynamics in planar ferromagnets and anti-ferromagnets | 2005-03-07 | Paper |
| A New Type of Free Boundary Problem with Volume Constraint | 2005-01-20 | Paper |
| Existence of two-dimensional Skyrmions via the concentration-compactness method | 2005-01-12 | Paper |
| Topology of Sobolev mappings. II. | 2004-11-15 | Paper |
| Existence of energy minimizers as stable knotted solitons in the Faddeev model | 2004-11-11 | Paper |
| Remarks on a backward parabolic problem | 2004-10-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4736217 | 2004-08-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4467824 | 2004-06-10 | Paper |
| Zero set of Sobolev functions with negative power of integrability | 2004-05-27 | Paper |
| Singular Sets of Higher Order Elliptic Equations | 2004-01-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4801245 | 2004-01-22 | Paper |
| Topology of Sobolev mappings III | 2003-11-10 | Paper |
| Gauged harmonic maps, Born-Infeld electromagnetism, and magnetic vortices | 2003-10-29 | Paper |
| Vortices inp-Wave Superconductivity | 2003-09-30 | Paper |
| A type of homogenization problem. | 2003-07-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4782228 | 2003-04-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4803990 | 2003-04-09 | Paper |
| Harmonic and quasi-harmonic spheres. II. | 2003-04-07 | Paper |
| A Quantization Property for Moving Line Vortices | 2003-01-28 | Paper |
| On the hydrodynamic limit of Ginzburg‐Landau wave vortices | 2003-01-28 | Paper |
| Legendrian energy minimizers. I: Heisenberg group target | 2002-11-07 | Paper |
| Energy quantization for harmonic maps | 2002-10-27 | Paper |
| Harmonic and quasi-harmonic spheres. III: Rectifiability of the parabolic defect measure and generalized varifold flows | 2002-09-12 | Paper |
| Rank zero and rank one sets of harmonic maps | 2002-06-19 | Paper |
| Static theory for planar ferromagnets and antiferromagnets | 2002-06-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4331235 | 2002-05-15 | Paper |
| Time Evolution of Nematic Liquid Crystals with Variable Degree of Orientation | 2002-04-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2761437 | 2002-01-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2748503 | 2001-10-16 | Paper |
| A quantization property for static Ginzburg-Landau vortices | 2001-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2708699 | 2001-04-17 | Paper |
| Topology of Sobolev mappings | 2001-01-01 | Paper |
| Gradient estimates and blow-up analysis for stationary harmonic maps | 2000-12-03 | Paper |
| Existence of solutions for the Ericksen-Leslie system | 2000-11-20 | Paper |
| A REMARK ON THE JACOBIANS | 2000-11-14 | Paper |
| Evolution equations with a free boundary condition | 2000-10-23 | Paper |
| Vortex State ofd-Wave Superconductors in the Ginzburg--Landau Energy | 2000-10-19 | Paper |
| Partial regularity for optimal design problems involving both bulk and surface energies | 2000-10-18 | Paper |
| Partial regularity of the dynamic system modeling the flow of liquid crystals | 2000-08-16 | Paper |
| On the hydrodynamic limit of Ginzburg-Landau vortices. | 2000-08-16 | Paper |
| A class of fully nonlinear elliptic equations with singularity at the boundary | 2000-06-22 | Paper |
| Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents | 2000-06-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4260839 | 2000-05-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4267505 | 2000-04-24 | Paper |
| Harmonic and quasi-harmonic spheres | 2000-04-10 | Paper |
| Exponential growth solutions of elliptic equations | 2000-03-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4260814 | 2000-02-20 | Paper |
| A unified approach to vortex motion laws of complex scalar field equations | 2000-02-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4258267 | 2000-02-02 | Paper |
| Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds | 2000-01-04 | Paper |
| Vortex dynamics for the nonlinear wave equation | 1999-12-01 | Paper |
| Mapping problems, fundamental groups and defect measures | 1999-11-21 | Paper |
| Geometric measure of singular sets of elliptic equations | 1999-11-14 | Paper |
| The \(p\)-energy minimality of \(x/| x|\) | 1999-10-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4261609 | 1999-09-29 | Paper |
| On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation | 1999-05-30 | Paper |
| Energy identity of harmonic map flows from surfaces at finite singular time | 1999-03-18 | Paper |
| Erratum: Geometric measure of singular sets of elliptic equations | 1999-01-01 | Paper |
| A new proof of the Caffarelli-Kohn-Nirenberg theorem | 1998-08-10 | Paper |
| Ginzburg--Landau Vortices: Dynamics, Pinning, and Hysteresis | 1998-02-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4342726 | 1998-01-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5688823 | 1997-11-25 | Paper |
| Minimax solutions of the Ginzburg-Landau equations | 1997-10-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5691568 | 1997-10-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4342838 | 1997-09-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4332784 | 1997-02-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4884689 | 1997-01-05 | Paper |
| Some dynamical properties of Ginzburg-Landau vortices | 1996-12-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4878380 | 1996-09-29 | Paper |
| Solutions of Ginzburg-Landau equations and critical points of the renormalized energy | 1996-09-11 | Paper |
| Evolution of harmonic maps with Dirichlet boundary conditions | 1996-09-11 | Paper |
| Mixed vortex-antivortex solutions of Ginzburg-Landau equations | 1996-05-22 | Paper |
| Remarks on approximate harmonic maps | 1996-02-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4849758 | 1996-01-30 | Paper |
| Singularities for \(p\)-energy minimizing unit vector fields on planar domains | 1996-01-08 | Paper |
| Partial regularity for weak heat flows into spheres | 1995-12-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4853498 | 1995-11-01 | Paper |
| Nonparabolic dissipative systems modeling the flow of liquid crystals | 1995-08-27 | Paper |
| On Ericksen's model for liquid crystals | 1995-05-22 | Paper |
| Nodal sets of solutions of parabolic equations: II | 1995-03-01 | Paper |
| Variational problems with free interfaces | 1994-08-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4302366 | 1994-08-15 | Paper |
| Harmonic maps into round cones and singularities of nematic liquid crystals | 1994-06-30 | Paper |
| Regularity of an elliptic problem with a singular nonlinearity | 1994-06-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3137125 | 1993-11-07 | Paper |
| Axially symmetric harmonic maps minimizing a relaxed energy | 1993-08-18 | Paper |
| Axially symmetric harmonic maps minimizing a relaxed energy | 1993-05-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4024201 | 1993-02-22 | Paper |
| Lp bounds on singular integrals in homogenization | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4011220 | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3989615 | 1992-06-28 | Paper |
| BoundaryC1,α regularity for variational inequalities | 1992-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3352684 | 1991-01-01 | Paper |
| On nematic liquid crystals with variable degree of orientation | 1991-01-01 | Paper |
| Nodal sets of solutions of elliptic and parabolic equations | 1991-01-01 | Paper |
| The singular set of an energy minimizing map from \(B^ 4\) to \(S^ 2\) | 1990-01-01 | Paper |
| A partial answer to a conjecture of B. Simon concerning unique continuation | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3210569 | 1990-01-01 | Paper |
| A uniqueness theorem for parabolic equations | 1990-01-01 | Paper |
| On the Dirichlet problem for minimal graphs in hyperbolic space | 1989-01-01 | Paper |
| Stability of singularities of minimizing harmonic maps | 1989-01-01 | Paper |
| Homogenization of Poisson's kernel and applications to boundary control | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3032659 | 1989-01-01 | Paper |
| Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena | 1989-01-01 | Paper |
| Compactness methods in the theory of homogenization II: Equations in non-divergence form | 1989-01-01 | Paper |
| Partially constrained boundary conditions with energy minimizing mappings | 1989-01-01 | Paper |
| Asymptotic behavior of area‐minimizing currents in hyperbolic space | 1989-01-01 | Paper |
| Stable defects of minimizers of constrained variational principles | 1988-01-01 | Paper |
| Existence and regularity of embedded disks | 1988-01-01 | Paper |
| Boundary behavior of solutions of area-type problems | 1988-01-01 | Paper |
| Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space | 1987-01-01 | Paper |
| Homogenization of elliptic problems with \(L^p\) boundary data | 1987-01-01 | Paper |
| Counterexamples related to high-frequency oscillation of Poisson's kernel | 1987-01-01 | Paper |
| Plateau's problem for H-convex curves | 1987-01-01 | Paper |
| Compactness methods in the theory of homogenization | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3776940 | 1987-01-01 | Paper |
| Mappings minimizing theLp norm of the gradient | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3791541 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3791554 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3797914 | 1987-01-01 | Paper |
| Unique continuation for elliptic operators: A geometric-variational approach | 1987-01-01 | Paper |
| Approximation by smooth embedded hypersurfaces with positive mean curvature | 1987-01-01 | Paper |
| Minimality and stability of minimal hypersurfaces in IRn | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4727750 | 1987-01-01 | Paper |
| Existence and partial regularity of static liquid crystal configurations | 1986-01-01 | Paper |
| A remark on \(H^ 1\) mappings | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3732443 | 1986-01-01 | Paper |
| Second Derivative L p -Estimates for Elliptic Equations of Nondivergent Type | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3834387 | 1986-01-01 | Paper |
| On the least growth of harmonic functions am the boundary behavior of riemann mappings | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3702877 | 1985-01-01 | Paper |
| On the Elliptic Equation D i [ a ij (x)D j U - k(x)U + K(x)U p = 0] | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4722476 | 1985-01-01 | Paper |
