The concentration-compactness principle for Orlicz spaces and applications

DOI10.1002/MANA.202300469MaRDI QIDQ6648886

Analia Silva, Julián Fernández Bonder

Publication date: 5 December 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35Jxx) Functional analysis (46-XX)

Cites Work

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• On the Sobolev embedding theorem for variable exponent spaces in the critical range
• The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The principle of concentration compactness in \(L^{p(x)}\) spaces and its application
• Functional analysis, Sobolev spaces and partial differential equations
• The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem
• Optimal Orlicz-Sobolev embeddings
• A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
• Fractional order Orlicz-Sobolev spaces
• Orlicz-Sobolev spaces and imbedding theorems
• The concentration-compactness principle for variable exponent spaces and applications
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations

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