A supercritical nonlocal Neumann problem involving non-homogeneous fractional Laplacian

Remi Yvant Temgoua

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arXiv · 2406.19250

A supercritical nonlocal Neumann problem involving non-homogeneous fractional Laplacian

Remi Yvant Temgoua

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Abstract

In this paper, we study the existence of positive non-decreasing radial solutions of a nonlocal non-standard growth problem ruled by the fractional $g$-Laplace operator with exterior Neumann condition. Our argument exploits some properties of fractional Orlicz-Sobolev spaces combined with a variational principle for nonsmooth functionals, which allows to deal with problems lacking compactness.

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Remi Yvant Temgoua. 2024-06-27. A supercritical nonlocal Neumann problem involving non-homogeneous fractional Laplacian. https://arxiv.org/abs/2406.19250

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