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

共 50 条

[1] Multiplicity solutions for a class of p-Laplacian fractional differential equations via variational methods
Chen, Yiru
Gu, Haibo
OPEN MATHEMATICS, 2022, 20 (01): : 959 - 973
[2] Nontrivial solutions of a class of fractional differential equations with p-Laplacian via variational methods
Yan Qiao
Fangqi Chen
Yukun An
Boundary Value Problems, 2020
[3] Nontrivial solutions of a class of fractional differential equations with p-Laplacian via variational methods
Qiao, Yan
Chen, Fangqi
An, Yukun
BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
[4] Multiple positive solutions of singular discrete p-Laplacian problems via variational methods
Agarwal, Ravi P.
Perera, Kanishka
O'Regan, Donal
ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) : 93 - 99
[5] Multiple positive solutions of singular discrete p-Laplacian problems via variational methods
Ravi P Agarwal
Kanishka Perera
Donal O'Regan
Advances in Difference Equations, 2005
[6] EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR DISCRETE PROBLEMS WITH P-LAPLACIAN VIA VARIATIONAL METHODS
Tian, Yu
Ge, Weigao
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[7] Multiple positive solutions of singular p-Laplacian problems by variational methods
Perera, Kanishka
Zhang, Zhitao
BOUNDARY VALUE PROBLEMS, 2005, 2005 (03) : 377 - 382
[8] Positive solutions to mixed fractional p-Laplacian boundary value problems
Guezane-Lakoud, Assia
Rodriguez-Lopez, Rosana
JOURNAL OF APPLIED ANALYSIS, 2023, 29 (01) : 49 - 58
[9] Periodic solutions for parabolic fractional p-Laplacian problems via topological degree
Zineddaine, Ghizlane
Melliani, Said
Kassidi, Abderrazak
FILOMAT, 2024, 38 (18) : 6539 - 6547
[10] Multiple positive solutions for mixed fractional differential system with p-Laplacian operators
Ying Wang
Boundary Value Problems, 2019

← 1 2 3 4 5 →