A generalized version of the Lions-type lemma

DOI10.2478/amsil-2023-0014arXiv2301.04389WikidataQ124850915 ScholiaQ124850915MaRDI QIDQ6054721

M. Chmara

Publication date: 25 October 2023

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.04389

zbMATH Keywords

unbounded domainsconcentration-compactnessLions-type result

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61)

Cites Work

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• Strauss and Lions type results for a class of Orlicz-Sobolev spaces and applications
• On the lowest eigenvalue of the Laplacian for the intersection of two domains
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Mountain pass type solutions for quasilinear elliptic equations
• Compact embedding theorems and a Lions' type lemma for fractional Orlicz-Sobolev spaces
• Dirichlet problems for fully anisotropic elliptic equations
• A Lions type result for a large class of Orlicz-Sobolev space and applications
• Variational Methods
• Problems involving the fractional g-Laplacian with lack of compactness

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