Sobolev spaces and harmonic maps between singular spaces

DOI10.1007/s005260050096zbMath0931.58006OpenAlexW1967807045MaRDI QIDQ1389891

Giovanni Gregori

Publication date: 28 February 2000

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050096

zbMATH Keywords

weak limitLipschitz manifoldaverage difference quotientNPC metric spaceSobolev theory

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic maps, etc. (58E20) Differentiability questions for infinite-dimensional manifolds (58B10)

Related Items (15)

UNIQUENESS THEOREMS FOR HARMONIC MAPS INTO METRIC SPACES ⋮ Inhomogeneous vortex patterns in rotating Bose-Einstein condensates ⋮ Convergence of harmonic maps between Alexandrov spaces ⋮ Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in \({\mathrm{CAT}}(1)\) spaces ⋮ Lipschitz continuity of harmonic maps between Alexandrov spaces ⋮ Regularity of quasi-\(n\)-harmonic mappings into NPC spaces ⋮ Korevaar-Schoen's energy on strongly rectifiable spaces ⋮ Vortex-lines motion for the Ginzburg-Landau equation with impurity ⋮ The transition to a giant vortex phase in a fast rotating Bose-Einstein condensate ⋮ Harmonic maps between Alexandrov spaces ⋮ A semigroup approach to harmonic maps ⋮ Generalized Rademacher-Stepanov type theorem and applications ⋮ Harmonic mappings between singular metric spaces ⋮ Giant vortex and the breakdown of strong pinning in a rotating Bose-Einstein condensate ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit

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