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The concentration–compactness principle for Orlicz spaces and applications

The concentration-compactness principle for Orlicz spaces and applications
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Sep 2024Embargo end date: 01 Jan 2021 English Publisher:WileyJournal:Mathematische Nachrichten, volume 297, pages 4,044-4,066 (issn: 0025-584X, eissn: 1522-2616, Copyright policy )
Authors: Julián Fernández Bonder; Analía Silva;

doi: 10.1002/mana.202300469 , 10.48550/arxiv.2111.13199

arXiv: 2111.13199

handle: 11336/247265

The concentration–compactness principle for Orlicz spaces and applications

Abstract

AbstractIn this paper, we extend the well‐known concentration–compactness principle of P.L. Lions to Orlicz spaces. As an application, we show an existence result to some critical elliptic problem with nonstandard growth.

Related Organizations
Keywords

ORLICZ SPACES, Variational methods for second-order elliptic equations, 35J62, 46E30, existence, Existence problems for PDEs: global existence, local existence, non-existence, concentration-compactness principle for Orlicz spaces, CONCENTRATION–COMPACTNESS PRINCIPLE, Mathematics - Analysis of PDEs, quasilinear elliptic equation, Quasilinear elliptic equations, FOS: Mathematics, https://purl.org/becyt/ford/1.1, https://purl.org/becyt/ford/1, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
Green