Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator

被引：19

作者：

Vetro, Calogero ^{[1
]}

机构：

[1] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 98期

关键词：

Dirichlet boundary value problem; p(x)-Laplacian-like operator; variable exponent Sobolev space; EXISTENCE; MULTIPLICITY; SPACES;

D O I：

10.14232/ejqtde.2017.1.98

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of weak solutions to the Dirichlet boundary value problem for equations involving the p(x)-Laplacian-like operator in the principal part, with reaction term satisfying a sub-critical growth condition. We establish the existence of at least one nontrivial weak solution and three weak solutions, by using variational methods and critical point theory.

引用

页码：1 / 10

页数：10

共 50 条

[41] Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian
Wang, Shaohong
Zhou, Zhan
BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
[42] Existence of solutions for p(x)-Laplacian Dirichlet problem
Fan, XL
Zhang, QH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (08) : 1843 - 1852
[43] WEAK SOLUTION FOR FRACTIONAL p(x)-LAPLACIAN PROBLEM WITH DIRICHLET-TYPE BOUNDARY CONDITION
Sabri, Abdelali
Jamea, Ahmed
Alaoui, Hamad Talibi
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2020, 26 (03): : 272 - 282
[44] Positive Solutions for Integral Boundary Value Problem with φ-Laplacian Operator
Ding, Yonghong
BOUNDARY VALUE PROBLEMS, 2011,
[45] Existence of solutions for a nonhomogeneous Dirichlet problem involving p(x)-Laplacian operator and indefinite weight
Marcos, Aboubacar
Abdou, Aboubacar
BOUNDARY VALUE PROBLEMS, 2019, 2019 (01):
[46] NO-FLUX BOUNDARY PROBLEMS INVOLVING p(x)-LAPLACIAN-LIKE OPERATORS
Cabanillas Lapa, Eugenio
Pardo Rivera, Victor
Quique Broncano, Jose
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[47] Positive Solutions for Integral Boundary Value Problem with ϕ-Laplacian Operator
Yonghong Ding
Boundary Value Problems, 2011
[48] Existence of weak solutions for a nonlinear problem involving p(.)-Laplacian operator with mixed boundary conditions
Aramaki, Junichi
JOURNAL OF ANALYSIS, 2022, 30 (03): : 1283 - 1304
[49] Weak Solutions for a p-Laplacian Antiperiodic Boundary Value Problem with Impulsive Effects
Zhang, Keyu
Xu, Jiafa
Dong, Wei
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
[50] Weak Solutions for a (p(z), q(z))-Laplacian Dirichlet Problem
Nastasi, Antonella
FILOMAT, 2020, 34 (03) : 999 - 1011

← 1 2 3 4 5 →