Homogeneous eigenvalue problems in Orlicz-Sobolev spaces
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Published:2023-12-31
Issue:
Volume:
Page:1-25
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Bonder Julián FernándezORCID,
Salort Ariel,
Vivas Hernán
Abstract
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.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University