The concentration–compactness principle for Orlicz spaces and applications

Abstract In 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.

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Publication Details

Journal
Mathematische Nachrichten
Published
2024-09-01
DOI
https://doi.org/10.1002/mana.202300469
Citations
2
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
1.95

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article

The concentration–compactness principle for Orlicz spaces and applications

Julián Fernández Bonder, Analía Silva
2 citations
Mathematische Nachrichten
Nonlinear Partial Differential Equations
1.95
article

The concentration–compactness principle for Orlicz spaces and applications

Julián Fernández Bonder, Analía Silva
article en
2 citations

Abstract

Abstract In 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.

Mathematische NachrichtenVol. 297(11)
Consejo Nacional de Investigaciones Científicas y Técnicas (AR), Universidad de Buenos Aires (AR), National University of San Luis (AR)
Universidad Nacional de San Luis, Agencia Nacional de Promoción Científica y Tecnológica, Secretaría de Ciencia y Técnica, Universidad de Buenos Aires
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Openalex Percentile: Top 19%
Nonlinear Partial Differential Equations
1.95
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