Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach

DOI10.2422/2036-2145.201302_006zbMath1331.35131arXiv1306.6782OpenAlexW2964327000MaRDI QIDQ3460884

Yannick Sire, Giampiero Palatucci, Adriano Pisante

Publication date: 8 January 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6782

zbMATH Keywords

critical Sobolev exponentfractional Sobolev spacesconcentration-compactness principle\(\Gamma\)-convergencenonlocal variational problems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Methods involving semicontinuity and convergence; relaxation (49J45) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (12)

Nonlocal problems at nearly critical growth ⋮ A gamma convergence approach to the critical Sobolev embedding in variable exponent spaces ⋮ The Dirichlet problem for the \(p\)-fractional Laplace equation ⋮ Multiple solutions for superlinear fractional problems via theorems of mixed type ⋮ Local behavior of fractional \(p\)-minimizers ⋮ Nonlocal Harnack inequalities ⋮ Asymptotic behavior of ground states and local uniqueness for fractional Schrödinger equations with nearly critical growth ⋮ Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension ⋮ Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain ⋮ Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces ⋮ Solutions for a nonlocal problem involving a Hardy potential and critical growth ⋮ Hölder regularity for weak solutions to nonlocal double phase problems

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