MULTIPLICITY OF SOLUTIONS TO THE SUM OF POLYHARMONIC EQUATIONS WITH CRITICAL SOBOLEV EXPONENTS

被引：0

作者：

Liu, Wei ^{[1
]}

Jia, Gao ^{[1
]}

Guo, Lu-Qian ^{[1
]}

机构：

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

Polyharmonic equation; multiple solutions; critical Sobolev exponent; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS) conditions.

引用

页数：10

共 50 条

[21] Existence and multiplicity of solutions for critical nonlocal equations with variable exponents
Liang, Sihua
Pucci, Patrizia
Zhang, Binlin
APPLICABLE ANALYSIS, 2023, 102 (15) : 4306 - 4329
[22] Multiplicity of solutions for singular quasilinear Schrodinger equations with critical exponents
Wang, Youjun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 458 (02) : 1027 - 1043
[23] MULTIPLICITY OF SOLUTIONS TO KIRCHHOFF TYPE EQUATIONS WITH CRITICAL SOBOLEV EXPONENT
Chen, Peng
Liu, Xiaochun
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (01) : 113 - 125
[24] EXISTENCE, MULTIPLICITY AND BIFURCATION FOR CRITICAL POLYHARMONIC EQUATIONS
XUAN Benjin
CHEN Zuchi (Department of Mathematics
Journal of Systems Science & Complexity, 1999, (01) : 59 - 69
[25] SOLUTIONS FOR QUASILINEAR SCHRODINGER EQUATIONS WITH CRITICAL SOBOLEV-HARDY EXPONENTS
Zhang, Yimin
Wang, Youjun
Shen, Yaotian
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (04) : 1037 - 1054
[26] Positive solutions of certain elliptic equations involving critical Sobolev exponents
Huang, YX
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 33 (06) : 617 - 636
[27] NONTRIVIAL SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS WITH CRITICAL SOBOLEV EXPONENTS
WANG, CF
XUE, RY
CHINESE SCIENCE BULLETIN, 1991, 36 (14): : 1226 - 1227
[28] Nodal solutions for Laplace equations with critical Sobolev and Hardy exponents on RN
Deng, Yinbin
Gao, Qi
Zhang, Dandan
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 19 (01) : 211 - 233
[29] Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents
Kang, DS
Peng, SJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (08) : 1151 - 1164
[30] Nontrivial　Solutions　of　Semilinear　Elliptic　Equations　Involving　Critical　Sobolev　Exponents
韩建龙
Communications in Mathematical Research, 1995, (01) : 39 - 46

← 1 2 3 4 5 →