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.
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页码：455 / 474
页数：20
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