Existence result for a class of singular quasilinear elliptic equations with critical growth

被引：0

作者：

Zhang, Guoqing ^{[1
,2
]}

Zhang, Weiguo ^{[1
]}

Wang, Yunkai ^{[3
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[3] Shanghai Univ Sci & Technol, Coll Management, Shanghai 200093, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 08期

关键词：

non-smooth functional; critical exponents; singular and indefinite potential;

D O I：

10.1016/j.na.2007.01.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the existence of a nontrivial solution for a class of singular quasilinear elliptic equations with critical exponents. The proofs rely on a non-smooth critical point theory, and some techniques used by Brezis and Nirenberg. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2204 / 2215

页数：12

共 50 条

[31] Existence of positive solutions for generalized quasilinear elliptic equations with Sobolev critical growth
Zhang, Nian
Liang, Chuchu
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2024, (44) : 1 - 25
[32] Existence and Nonexistence of Solution for a Class of Quasilinear Schrodinger Equations with Critical Growth
Severo, Uberlandio B.
de S. Germano, Diogo
ACTA APPLICANDAE MATHEMATICAE, 2021, 173 (01)
[33] Existence of a nontrivial weak solution to quasilinear elliptic equations with singular weights and multiple critical exponents
Xuan, Benjin
Wang, Ji
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (9-10) : 3649 - 3658
[34] QUASILINEAR ELLIPTIC EQUATIONS WITH SINGULAR QUADRATIC GROWTH TERMS
Boccardo, Lucio
Leonori, Tommaso
Orsina, Luigi
Petitta, Francesco
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2011, 13 (04) : 607 - 642
[35] Multiplicity result for a class of elliptic equations with singular term
Chen, J.
Murillo, K.
Rocha, E. M.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (15) : 5797 - 5814
[36] Positive singular rupture solutions to a class for quasilinear elliptic equations
Cui, Zhoujin
Yang, Zuodong
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 399 - 405
[37] Some results for a class of quasilinear elliptic equations with singular nonlinearity
do O, Joao Marcos
da Silva, Esteban
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 148 : 1 - 29
[38] On a class of quasilinear elliptic systems with critical growth
Liu, Zhaoxia
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (02) : 558 - 570
[39] An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains
Kanishka Perera
Patrizia Pucci
Csaba Varga
Nonlinear Differential Equations and Applications NoDEA, 2014, 21 : 441 - 451
[40] An existence result for a class of quasilinear elliptic eigenvalue problems in unbounded domains
Perera, Kanishka
Pucci, Patrizia
Varga, Csaba
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2014, 21 (03): : 441 - 451

← 1 2 3 4 5 →