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arXiv · 2205.09621

Homogeneous eigenvalue problems in Orlicz-Sobolev spaces

Julian Fernandez Bonder·Ariel Salort·Hernan Vivas
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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.

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Julian Fernandez Bonder, Ariel Salort, Hernan Vivas. 2022-05-19. Homogeneous eigenvalue problems in Orlicz-Sobolev spaces. https://arxiv.org/abs/2205.09621

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