Neumann fractional p-Laplacian: Eigenvalues and existence results

被引：21

作者：

Mugnai, Dimitri ^{[1
]}

Lippi, Edoardo Proietti ^{[2
]}

机构：

[1] Tuscia Univ, Dept Ecol & Biol, I-01100 Viterbo, Italy

[2] Univ Florence, Dept Math & Comp Sci, Viale Morgagni 67-A, I-50134 Florence, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 188卷

关键词：

Fractional p-Laplacian; Neumann boundary conditions; Eigenvalues; Subcritical perturbation; BOUNDARY-CONDITIONS; DIRICHLET PROBLEM; DIFFUSION; EQUATIONS;

D O I：

10.1016/j.na.2019.06.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：455 / 474

页数：20

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