Neumann fractional p-Laplacian: eigenvalues and existence results
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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