Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

被引：12

作者：

Mihailescu, Mihai ^{[1
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

BOUNDARY VALUE PROBLEMS | 2006年 / 2006卷 / 1期

关键词：

D O I：

10.1155/BVP/2006/41295

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space R-N. The solutions will be obtained in a subspace of the Sobolev space W-1,W- p(R-N). The proofs rely essentially on the Mountain Pass theorem and on Ekeland's Variational principle.

引用

页数：17

共 50 条

[1] Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
Mihai Mihăilescu
Boundary Value Problems, 2006
[2] Existence of solutions for a class of nonlinear degenerate elliptic equations
Cavalheiro, AC
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2002, 7 (03) : 367 - 377
[3] Existence and multiplicity of solutions for nonlinear elliptic equations
Musso, M
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1998, 1A : 141 - 144
[4] Existence of solutions for nonlinear elliptic degenerate equations
Benkirane, A
Bennouna, J
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (01) : 9 - 37
[5] Existence and multiplicity of solutions for a class of semilinear elliptic equations
Liu, SQ
Tang, CL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 257 (02) : 321 - 331
[6] THE EXISTENCE OF ENTROPY SOLUTIONS FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS
Cavalheiro, Albo Carlos
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020
[7] Existence of weak solutions for a class of nonuniformly nonlinear elliptic equations in unbounded domains
Hoang Quoc Toan
Nguyen Thanh Chung
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (11) : 3987 - 3996
[8] MULTIPLICITY OF SOLUTIONS FOR A CLASS OF NONLINEAR NONHOMOGENEOUS ELLIPTIC EQUATIONS
Aizicovici, Sergiu
Papageorgiou, Nikolaos S.
Staicu, Vasile
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2014, 15 (01) : 7 - 34
[9] Existence of Weak Solutions to a Class of Singular Elliptic Equations
Qingwei Li
Wenjie Gao
Mediterranean Journal of Mathematics, 2016, 13 : 4917 - 4927
[10] Existence of Weak Solutions to a Class of Singular Elliptic Equations
Li, Qingwei
Gao, Wenjie
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4917 - 4927

← 1 2 3 4 5 →