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

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 2 condition. Our results apply to more general semilinear equations of the form (-g)s u = f(u).

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