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arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2021
License: CC BY
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The concentration-compactness principle for Orlicz spaces and applications

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2021Embargo end date: 01 Jan 2021Publisher:arXiv
Authors: Bonder, Julián Fernández; Silva, Analía;

doi: 10.48550/arxiv.2111.13199

arXiv: http://arxiv.org/abs/2111.13199

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.

In this revision we have modified and extended our application to the solvability of critical-type elliptic problems

Keywords

Mathematics - Analysis of PDEs, 35J62, 46E30, FOS: Mathematics, Analysis of PDEs (math.AP)

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citations
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!
0
Average
Average
Average
Green