Name: The concentration-compactness principle for fractional Orlicz-Sobolev spaces
Keywords: Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 19 May 2025Embargo end date: 01 Jan 2023 English Publisher:Informa UK LimitedJournal:Complex Variables and Elliptic Equations (issn: 1747-6933, eissn: 1747-6941,

Authors: Bahrouni, Sabri; Miyagaki, Olimpio;

doi: 10.1080/17476933.2025.2500341 , 10.48550/arxiv.2312.03923

arXiv: http://arxiv.org/abs/2312.03923

The concentration-compactness principle for fractional Orlicz-Sobolev spaces

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Abstract

In this paper, we delve into the well-known concentration-compactness principle in fractional Orlicz-Sobolev spaces, and we apply it to establish the existence of a weak solution for a critical elliptic problem involving the fractional $g-$Laplacian.

Related Organizations

University of Monastir
Tunisia
Federal University of São Carlos
Brazil

Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

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