Dirichlet problems. Gaps. Infinite energies

Haïm Brezis, Petru Mironescu

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We investigate minimization problems of the form min{∫Ω|∇u|p;u∈Wg1,p(Ω;S1)}, where 1 ≤ p< ∞ and g∈ C(∂Ω; S1) is a given boundary condition (satisfying also deg g= 0 when N= 2 ).

Original languageEnglish (US)
Title of host publicationProgress in Nonlinear Differential Equations and Their Application
PublisherBirkhauser
Pages381-401
Number of pages21
DOIs
StatePublished - 2021

Publication series

NameProgress in Nonlinear Differential Equations and Their Application
Volume96
ISSN (Print)1421-1750
ISSN (Electronic)2374-0280

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mechanics
  • Mathematical Physics
  • Control and Optimization
  • Applied Mathematics

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