Homogeneous eigenvalue problems in Orlicz-Sobolev spaces
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 1 among other stability results.
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