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

[21] Multiplicity of Solutions on a Nonlinear Eigenvalue Problem for p(x)-Laplacian-like Operators
Manuela Rodrigues, M.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2012, 9 (01) : 211 - 223
[22] EXISTENCE RESULTS OF INFINITELY MANY WEAK SOLUTIONS FOR p(x)-LAPLACIAN-LIKE OPERATORS
Shokooh, Saeid
Neirameh, Ahmad
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2016, 78 (04): : 95 - 104
[23] BEHAVIOR OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR THE p(x)-LAPLACIAN AT A BOUNDARY POINT
Alkhutov, Yu A.
Surnachev, M. D.
ST PETERSBURG MATHEMATICAL JOURNAL, 2020, 31 (02) : 251 - 271
[24] Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian
Ge, Bin
Xue, Xiao-ping
Guo, Meng-shu
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2010, 31 (10) : 1283 - 1292
[25] Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian
Bin Ge
Xiao-ping Xue
Meng-shu Guo
Applied Mathematics and Mechanics, 2010, 31 : 1283 - 1292
[26] Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian
葛斌
薛小平
郭梦舒
AppliedMathematicsandMechanics(EnglishEdition), 2010, 31 (10) : 1283 - 1292
[27] Three solutions for a Dirichlet boundary value problem involving the p-Laplacian
Afrouzi, G. A.
Heidarkhani, S.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (10) : 2281 - 2288
[28] Existence of weak solutions for a p-Laplacian problem involving Dirichlet boundary condition
Dong, Wei
Xu, Jiafa
APPLIED MATHEMATICS AND COMPUTATION, 2014, 248 : 511 - 518
[29] EXISTENCE OF WEAK SOLUTIONS TO A p-LAPLACIAN PROBLEM INVOLVING DIRICHLET BOUNDARY CONDITION
Keyu Zhang
Jianguo Wang
Annals of Applied Mathematics, 2013, (04) : 484 - 489
[30] Three solutions to a Neumann boundary value problem driven by p(x)-biharmonic operator
Zakaria El Allali
Mohamed Karim Hamdani
Said Taarabti
Journal of Elliptic and Parabolic Equations, 2024, 10 : 195 - 209

← 1 2 3 4 5 →