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arXiv:1904.05613 [math.AP]AbstractReferencesReviewsResources

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

Dimitri Mugnai, Edoardo Proietti Lippi

Published 2019-04-11Version 1

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.

Categories: math.AP
Subjects: 35A15, 47J30, 35S15, 47G10, 45G05
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