MULTIPLE NONTRIVIAL SOLUTIONS FOR p-LAPLACIAN EQUATIONS WITH AN ASYMMETRIC NONLINEARITY

被引：0

作者：

Hu, Shouchuan ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Missouri State Univ, Dept Math, Springfield, MO 65804 USA

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2006年 / 19卷 / 12期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a nonlinear Dirichlet problem driven by the p-Laplacian and a right-hand side nonlinearity which exhibits an asymmetric behavior near +infinity and -infinity. Using variational techniques based on the mountain pass theorem and the second deformation theorem, we prove the existence of at least two nontrivial C-1-solutions, one of which is strictly positive.

引用

页码：1371 / 1390

页数：20

共 50 条

[1] Multiple Nontrivial Solutions for a Class of p-Laplacian Equations
Lei Wei
Mingxin Wang
Jiang Zhu
[J]. Acta Applicandae Mathematicae, 2010, 110 : 1153 - 1167
[2] Multiple Nontrivial Solutions for a Class of p-Laplacian Equations
Wei, Lei
Wang, Mingxin
Zhu, Jiang
[J]. ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (03) : 1153 - 1167
[3] Nontrivial solutions of superlinear p-Laplacian equations
Fang, Fei
Liu, Shibo
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (01) : 138 - 146
[4] Existence of nontrivial solutions for p-Laplacian equations in RN
Liu, Chungen
Zheng, Youquan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 380 (02) : 669 - 679
[5] MULTIPLE NONTRIVIAL SOLUTIONS OF NEUMANN p-LAPLACIAN SYSTEMS
Motreanu, Dumitru
Perera, Kanishka
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2009, 34 (01) : 41 - 48
[6] Solutions of perturbed p-Laplacian equations with critical nonlinearity
Wang, Chunhua
Wang, Jiangtao
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (01)
[7] Existence of Nontrivial Solutions for Fractional Differential Equations with p-Laplacian
Zhang, Li
Wang, Fanglei
Ru, Yuanfang
[J]. JOURNAL OF FUNCTION SPACES, 2019, 2019
[8] Nontrivial solutions for p-Laplacian systems
Hai, D. D.
Wang, Haiyan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (01) : 186 - 194
[9] Multiple nontrivial solutions for nonlinear periodic problems with the p-Laplacian
Aizicovici, Sergiu
Papageorgiou, Nikolaos S.
Staicu, Vasile
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 243 (02) : 504 - 535
[10] THREE NONTRIVIAL SOLUTIONS FOR PERIODIC PROBLEMS WITH THE p-LAPLACIAN AND A p-SUPERLINEAR NONLINEARITY
Gasinski, Leszek
Papageorgiou, Nikolaos S.
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (04) : 1421 - 1437

← 1 2 3 4 5 →