Homogeneous eigenvalue problems in Orlicz-Sobolev spaces
DOI:
https://doi.org/10.12775/TMNA.2023.008Keywords
Orlicz spaces, nonlinear eigenvalues, asymptotic behaviorAbstract
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.References
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Copyright (c) 2023 Julián Fernández Bonder, Ariel Salort, Hernán Vivas
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