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arXiv · 1904.05613

Neumann fractional $p-$Laplacian: eigenvalues and existence results

Dimitri Mugnai·Edoardo Proietti Lippi
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Abstract

We develop some properties of the $p-$Neumann derivative for the fractional $p-$Laplacian in bounded domains with general $p>1$. In particular, we prove the existence of a diverging sequence of eigenvalues and we introduce the evolution problem associated to such operators, studying the basic properties of solutions. Finally, we study a nonlinear problem with source in absence of the Ambrosetti-Rabinowitz condition.

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Dimitri Mugnai, Edoardo Proietti Lippi. 2019-04-11. Neumann fractional $p-$Laplacian: eigenvalues and existence results. https://arxiv.org/abs/1904.05613

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