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arXiv · 2011.14742

Variational Eigenvalues of the fractional $g$-Laplacian

Sabri Bahrouni·Hichem Ounaies·Ariel Salort
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Abstract

In the present work we study existence of sequences of variational eigenvalues to non-local non-standard growth problems ruled by the fractional $g-$Laplacian operator with different boundary conditions (Dirichlet, Neumann and Robin). Due to the non-homogeneous nature of the operator several drawbacks must be overcome, leading to some results that contrast with the case of power functions.

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Sabri Bahrouni, Hichem Ounaies, Ariel Salort. 2020-11-30. Variational Eigenvalues of the fractional $g$-Laplacian. https://arxiv.org/abs/2011.14742

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