DOI10.1007/BF01671566zbMath0852.58010OpenAlexW4238175110MaRDI QIDQ1900240
Louis Nirenberg, Haim Brezis
Publication date: 9 December 1996
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01671566
The interplay between analysis and topology in some nonlinear PDE problems ⋮
THE PONTRJAGIN–HOPF INVARIANTS FOR SOBOLEV MAPS ⋮
Weak limit and blowup of approximate solutions to \(H\)-systems ⋮
Renormalized energies for unit-valued harmonic maps in multiply connected domains ⋮
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Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds ⋮
Dynamics of Ginzburg-Landau vortices for vector fields on surfaces ⋮
Continuity Equation and Characteristic Flow for Scalar Hencky Plasticity ⋮
Asymptotic behavior of minimizing \(p\)-harmonic maps when \(p \nearrow 2\) in dimension 2 ⋮
Weak limit of homeomorphisms in \(W^{1, n-1}\) and (INV) condition ⋮
Maximal regularity for the Cauchy problem of the heat equation in BMO ⋮
Low energy configurations of topological singularities in two dimensions: A Γ-convergence analysis of dipoles ⋮
The Dirichlet problem for the Beltrami equations with sources ⋮
The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮
Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity ⋮
On the lack of compactness in the axisymmetric neo-Hookean model ⋮
BMO and Dirichlet problem for degenerate Beltrami equation ⋮
Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains ⋮
A note on a rigidity estimate for degree ±1$\pm 1$ conformal maps on S2$\mathbb {S}^2$ ⋮
On isolated singularities of mappings with finite length distortion ⋮
Some of my favorite open problems ⋮
On divergence-type linear and quasi-linear equations in the complex plane ⋮
Existence of extrinsic polyharmonic maps in critical dimensions ⋮
An Effective Model for Biofilm Growth Made by Chemotactical Bacteria in Evolving Porous Media ⋮
Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy ⋮
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups ⋮
Locally uniform domains and extension of bmo functions ⋮
Long‐time dynamics of Ericksen–Leslie system on 𝕊2 ⋮
Vanishing mean oscillation and continuity of rearrangements ⋮
Loops in \(SU(2)\) and factorization. II ⋮
Higher differentiability and integrability for some nonlinear elliptic systems with growth coefficients in \textit{BMO} ⋮
Non-degeneracy and quantitative stability of half-harmonic maps from \(\mathbb{R}\) to \(\mathbb{S}\) ⋮
The Cauchy problem for the Landau–Lifshitz–Gilbert equation in BMO and self-similar solutions ⋮
𝐁𝐌𝐎 on shapes and sharp constants ⋮
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Rotation numbers for measure-valued circle maps ⋮
Optimal constant in a new estimate for the degree ⋮
Topological singularities in \(W^{S,P}(S^N,S^{1})\) ⋮
The distance between homotopy classes of \(S^{1}\)-valued maps in multiply connected domains ⋮
Obstruction theory for the approximation and the deformation problems for Sobolev mappings ⋮
Winding numbers and summation processes ⋮
Topology and Sobolev spaces ⋮
Function spaces between BMO and critical Sobolev spaces ⋮
Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions ⋮
On regular solutions of the Dirichlet problem for the Beltrami equations ⋮
Profile decomposition and phase control for circle-valued maps in one dimension ⋮
Density in \(W^{s, p}(\operatorname{\Omega}; N)\) ⋮
Γ-convergence analysis for discrete topological singularities: The anisotropic triangular lattice and the long range interaction energy ⋮
Quasianalytic multiparameter perturbation of polynomials and normal matrices ⋮
The wave maps equation ⋮
Distances between homotopy classes ofWs,p(𝕊N;𝕊N) ⋮
Compactness of special functions of bounded higher variation ⋮
Energy Estimates and Cavity Interaction for a Critical-Exponent Cavitation Model ⋮
Taylor’s theorem for functionals on BMO with application to BMO local minimizers ⋮
Weak notions of Jacobian determinant and relaxation ⋮
Weak continuity and lower semicontinuity results for determinants ⋮
A REMARK ON THE JACOBIANS ⋮
Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling ⋮
Quantitative characterization of traces of Sobolev maps ⋮
On global singularities of Sobolev mappings ⋮
Integrability of the Brouwer degree for irregular arguments ⋮
Asymmetric domain walls of small angle in soft ferromagnetic films ⋮
Functional calculus on \(BMO\) and related spaces ⋮
Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu) ⋮
\(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation ⋮
Functional calculus on BMO-type spaces of Bourgain, Brezis and Mironescu ⋮
Distances between classes of sphere-valued Sobolev maps ⋮
Topology of Sobolev mappings. II. ⋮
Pseudo-holomorphic functions at the critical exponent ⋮
Regularity of intrinsically convex \(W^{2,2}\) surfaces and a derivation of a homogenized bending theory of convex shells ⋮
On the degenerate Beltrami equation and hydrodynamic normalization ⋮
Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\) ⋮
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains ⋮
On energy-critical half-wave maps into \(\mathbb {S}^2\) ⋮
Dirichlet problem for the general Beltrami equation in Jordan domains ⋮
Geometrical properties of nonlinear maps and their application. I: The topological degree of quasiruled Fredholm maps on quasicylindrical domains ⋮
Rigidity estimates for isometric and conformal maps from \(\mathbb{S}^{n-1}\) to \(\mathbb{R}^n\) ⋮
The homological singularities of maps in trace spaces between manifolds ⋮
Topological methods for the Ginzburg-Landau equations ⋮
Higher integrability for constrained minimizers of integral functionals with \((p, q)\)-growth in low dimension ⋮
\(\Gamma\)-convergence analysis of a generalized \(XY\) model: fractional vortices and string defects ⋮
Density of bounded maps in Sobolev spaces into complete manifolds ⋮
On recent advances in the Beltrami equations ⋮
Phases of unimodular complex valued maps: optimal estimates, the factorization method, and the sum-intersection property of Sobolev spaces ⋮
Some remarks on the distributional Jacobian ⋮
On a new class of functions related to VMO ⋮
Uniqueness of vortexless Ginzburg-Landau type minimizers in two dimensions ⋮
The Beltrami equations and prime ends ⋮
Distances between classes in \(W^{1,1}(\Omega ;{\mathbb {S}}^{1})\) ⋮
Analytic formulas for the topological degree of non-smooth mappings: The odd-dimensional case ⋮
Continuity of weak solutions of the critical surface quasigeostrophic equation on \(\mathbb{S}^2\) ⋮
A zigzag pattern in micromagnetics ⋮
On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces ⋮
Winding numbers and Fourier series ⋮
Sobolev-Zygmund solutions for nonlinear elliptic equations with growth coefficients in \textit{BMO} ⋮
Fourier series of continuous unimodular functions ⋮
Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation ⋮
\(\mathbb S^1\)-valued Sobolev maps ⋮
A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types ⋮
A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree \(\pm 1\) harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\)
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