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arXiv · 1910.04815

Stability of solutions for nonlocal problems

Julián Fernández Bonder·Ariel M. Salort
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Abstract

In this paper we deal with the stability of solutions of fractional $p-$Laplace problems with nonlinear sources when the fractional parameter $s$ goes to 1. We prove a general convergence result for general weak solutions which is applied to study the convergence of ground state solutions of $p-$fractional problems in bounded and unbounded domains as $s$ goes to 1. Moreover, our result applies to treat the stability of $p-$fractional eigenvalues as $s$ goes to 1.

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Julián Fernández Bonder, Ariel M. Salort. 2019-10-10. Stability of solutions for nonlocal problems. https://arxiv.org/abs/1910.04815

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