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Homogeneous eigenvalue problems in Orlicz-Sobolev spaces

Object's details: Homogeneous eigenvalue problems in Orlicz-Sobolev spaces

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Provider:Akademicka Platforma Czasopism

Description

Title:
Homogeneous eigenvalue problems in Orlicz-Sobolev spaces
Creator:
Bonder, Julián Fernández;
Salort, Ariel;
Vivas, Hernán
Description:
In this article we consider a homogeneous eigenvalue problem ruled by the fractional $g$-Laplacian operator whose Euler-Lagrange equation is obtained by minimization of a quotient involving Luxemburg norms. We prove existence of an infinite sequence of variational eigenvalues and study its behavior as the fractional parameter $s\uparrow 1$ among other stability results.
Object availability:
free access
Rights:
Prawa autorskie (c) 2023 Julián Fernández Bonder, Ariel Salort, Hernán Vivas;
https://creativecommons.org/licenses/by-nd/4.0
Date:
2023.12.31
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 63, No 2 (June 2024); 429 - 453;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/47709/37280 ;https://apcz.umk.pl/TMNA/article/view/47709/37281
Subject:
Orlicz spaces;
nonlinear eigenvalues;
asymptotic behavior;
35J62;
35P30;
46E30
Identifier: https://apcz.umk.pl/TMNA/article/view/47709
Data provider:
Akademicka Platforma Czasopism

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