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

[11] Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents
Kang DongSheng
Peng ShuangJie
SCIENCE CHINA-MATHEMATICS, 2011, 54 (02) : 243 - 256
[12] Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents
KANG DongSheng 1
2 School of Mathematics and Statistics
Science China(Mathematics), 2011, 54 (02) : 243 - 256
[13] Multiple positive and nodal solutions for semilinear elliptic problems with critical exponents
Cao, DM
Noussair, ES
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1995, 44 (04) : 1249 - 1271
[14] Existence of multiple positive solutions to singular elliptic systems involving critical exponents
Zhang, Jian
Wei, Zhongli
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (02) : 559 - 573
[15] Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents
DongSheng Kang
ShuangJie Peng
Science China Mathematics, 2011, 54 : 243 - 256
[16] On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents
Cao, DM
Zhou, HS
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1996, 47 (01): : 89 - 96
[17] Existence of solutions for singular elliptic systems with critical exponents
Liu, Zhaoxia
Han, Pigong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) : 2968 - 2983
[18] Existence of solutions for perturbed elliptic system with critical exponents
Jiang, Juan
Liu, Wenbin
BOUNDARY VALUE PROBLEMS, 2015,
[19] Existence of solutions for perturbed elliptic system with critical exponents
Juan Jiang
Wenbin Liu
Boundary Value Problems, 2015
[20] Existence of multiple solutions of critical quasilinear elliptic Neumann problems
Binding, PA
Drábek, P
Huang, YX
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (04) : 613 - 629

← 1 2 3 4 5 →