Variational Eigenvalues of the fractional $g$-Laplacian
Analysis of PDEs
2020-12-01 v1
Abstract
In the present work we study existence of sequences of variational eigenvalues to non-local non-standard growth problems ruled by the fractional 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.
Keywords
Cite
@article{arxiv.2011.14742,
title = {Variational Eigenvalues of the fractional $g$-Laplacian},
author = {Sabri Bahrouni and Hichem Ounaies and Ariel Salort},
journal= {arXiv preprint arXiv:2011.14742},
year = {2020}
}