Global H\"older regularity for eigenfunctions of the fractional $g$-Laplacian

Julián Fernández Bonder; Ariel Salort; Hernán Vivas

Global H\"older regularity for eigenfunctions of the fractional $g$-Laplacian

Analysis of PDEs 2023-04-14 v5

Authors: Julián Fernández Bonder , Ariel Salort , Hernán Vivas

Abstract

We establish global H\"older 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 $\Delta_2$ condition. Our results apply to more general semilinear equations of the form $(-\Delta_g)^s u = f(u)$ .

Keywords

fractional g-laplacian eigenfunctions global holder regularity dirichlet boundary conditions young functions semilinear equations

Cite

@article{arxiv.2112.00830,
  title  = {Global H\"older regularity for eigenfunctions of the fractional $g$-Laplacian},
  author = {Julián Fernández Bonder and Ariel Salort and Hernán Vivas},
  journal= {arXiv preprint arXiv:2112.00830},
  year   = {2023}
}

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