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
收藏
页码：123 / 151
页数：29
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