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arXiv · 1807.01669

A H\"older Infinity Laplacian obtained as limit of Orlicz Fractional Laplacians

Julián Fernández Bonder·Mayte Pérez-Llanos·Ariel M. Salort
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Abstract

This paper concerns with the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional $p_n$-Laplacian when $p_n\to\infty$ as a particular case, tough it could be extended to a function of the H\"older quotient of order $s$, whose primitive is an Orlicz function satisfying appropriated growth conditions. The limit equation involves the H\"older infinity Laplacian.

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Julián Fernández Bonder, Mayte Pérez-Llanos, Ariel M. Salort. 2018-07-04. A H\"older Infinity Laplacian obtained as limit of Orlicz Fractional Laplacians. https://arxiv.org/abs/1807.01669

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