Existence and nonexistence of solutions for elliptic problems with multiple critical exponents

被引：0

作者：

Li, Yuanyuan ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Henan 450000, Peoples R China

来源：

OPEN MATHEMATICS | 2023年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

critical point; elliptic problem; existence; Pohozaev identity; POSITIVE SOLUTIONS; EQUATIONS;

D O I：

10.1515/math-2022-0605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Omega subset of R-N N >= 3() are proved by using the variational method and Pohozaev identity, respectively.

引用

页数：8

共 50 条

[31] EXISTENCE OF POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS WITH SOBOLEV CRITICAL EXPONENTS
Cao, Xiaoyan
Yang, Zuodong
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2011, 3 (01): : 57 - 71
[32] Existence of entropy solutions for degenerate elliptic unilateral problems with variable exponents
Azroul, E.
Barbara, A.
Benboubker, M. B.
El Haiti, K.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2018, 36 (01): : 79 - 99
[33] Positive solutions of quasilinear elliptic obstacle problems with critical exponents
Nonlinear Anal Theory Methods Appl, 12 (1283):
[34] Multiplicity of solutions to class of nonlocal elliptic problems with critical exponents
Hurtado, Elard Juarez
Miyagaki, Olimpio H.
Rodrigues, Rodrigo S.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (07) : 3949 - 3973
[35] The existence or nonexistence of solutions for some equations involving weighted critical exponents on the unit ball
Wang, Cong
Su, Jiabao
RICERCHE DI MATEMATICA, 2024, 73 (03) : 1427 - 1451
[36] Existence and multiplicity of positive solutions to sub-elliptic systems with multiple critical exponents on Carnot groups
Zhang, Jinguo
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2023, 133 (01):
[37] Existence and multiplicity of positive solutions to sub-elliptic systems with multiple critical exponents on Carnot groups
Jinguo Zhang
Proceedings - Mathematical Sciences, 133
[38] Existence and nonexistence of solutions for quasilinear elliptic systems
Wei, Lei
Feng, Zhaosheng
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2013, 10 (01) : 25 - 42
[39] Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems
Cui, SB
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (1-2) : 149 - 176
[40] Existence and nonexistence of solutions for quasilinear elliptic equations
Montenegro, M
Montenegro, M
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 245 (02) : 303 - 316

← 1 2 3 4 5 →