Global Hölder regularity for eigenfunctions of the fractional g-Laplacian

2021/12/01 by Julián Fernández Bonder, Ariel Salort, Bonder, Julián Fernández +3 · 2 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2112.00830

Abstract

We establish global Hölder regularity for eigenfunctions of the fractional g-Laplacian with Dirichlet boundary conditions where g=G' and G is a Young functions satisfying the so called Δ₂ condition. Our results apply to more general semilinear equations of the form (-Δ_g)^s u = f(u).

Cited by

• The Hénon equation in Orlicz-Sobolev spaces
• Higher Hölder regularity for fractional (p,q)-Laplace equations

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