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] On the elliptic problems with critical weighted Sobolev-Hardy exponents
Kang, Dongsheng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (05) : 1037 - 1050
[32] Existence and nonexistence results for critical growth fractional elliptic systems
Gao, Fengshuang
Guo, Yuxia
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 2 (01):
[33] Existence of symmetric solutions for singular semilinear elliptic systems with critical Hardy-Sobolev exponents
Deng, Zhiying
Huang, Yisheng
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 613 - 625
[34] EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS
Li, Yuanxiao
Gao, Wenjie
ACTA MATHEMATICA SCIENTIA, 2013, 33 (01) : 107 - 121
[35] EXISTENCE OF SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS INVOLVING CRITICAL EXPONENTS AND HARDY TERMS
Lue, Dengfeng
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[36] On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN
Deng, Zhiying
Xu, Dong
Huang, Yisheng
BOUNDARY VALUE PROBLEMS, 2018,
[37] Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
Deng, Zhiying
Huang, Yisheng
BOUNDARY VALUE PROBLEMS, 2015,
[38] Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
Lei, Chun-Yu
Liao, Jia-Feng
Tang, Chun-Lei
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 421 (01) : 521 - 538
[39] Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent
Xiu, Zonghu
ABSTRACT AND APPLIED ANALYSIS, 2012,
[40] Existence of multiple nontrivial solutions for semilinear elliptic problems
El Amrouss, A. R.
Moradi, F.
Moussaoui, M.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (07) : 1115 - 1126

← 1 2 3 4 5 →