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arXiv · 2304.03624

Boundary behavior of solutions to fractional $p$-Laplacian equation

Alireza Ataei
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Abstract

In this work, a generalized Hopf's lemma and a global boundary Harnack inequality are proved for solutions to fractional $p$-Laplacian equations. Then, the isolation of the first $(s,p)$-eigenvalue is shown in bounded open sets satisfying the Wiener criterion.

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Alireza Ataei. 2023-04-07. Boundary behavior of solutions to fractional $p$-Laplacian equation. https://arxiv.org/abs/2304.03624

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