Positive Solutions for the Fractional p-Laplacian via Mixed Topological and Variational Methods

被引：0

作者：

Iannizzotto, Antonio ^{[1
]}

机构：

[1] Univ Cagliari, Dipartimento Matemat & Informat, Cagliari, Italy

来源：

NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, PICNDEA 2022 | 2024年 / 7卷

关键词：

D O I：

10.1007/978-3-031-53740-0_8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a nonlinear, nonlocal Dirichlet problem driven by the degenerate fractional p-Laplacian via a combination of topological methods (degree theory for operators of monotone type) and variational methods (critical point theory). We assume local conditions ensuring the existence of sub- and supersolutions. So we prove existence of two positive solutions, in both the coercive and noncoercive cases.

引用

页码：123 / 151

页数：29

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