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.
Citation
Julián Fernández Bonder. Ariel Salort. Hernán Vivas. "Homogeneous eigenvalue problems in Orlicz-Sobolev spaces." Topol. Methods Nonlinear Anal. 63 (2) 429 - 453, 2024. https://doi.org/10.12775/TMNA.2023.008
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