INFINITELY MANY SOLUTIONS FOR A CLASS OF THE ELLIPTIC SYSTEMS WITH EVEN FUNCTIONALS

被引：0

作者：

Choi, Q-Heung ^{[1
]}

Jung, Tacksun ^{[2
]}

机构：

[1] Inha Univ, Dept Math Educ, Incheon 402751, South Korea

[2] Kunsan Natl Univ, Dept Math, Kunsan 573701, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 03期

关键词：

elliptic system; deformation lemma; (PS)* condition; subcritical Sobolev exponents; variational method; critical point theory; invariant functional; invariant subspaces;

D O I：

10.4134/JKMS.j160276

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We get a result that shows the existence of infinitely many solutions for a class of the elliptic systems involving subcritical Sobolev exponents nonlinear terms with even functionals on the bounded domain with smooth boundary. We get this result by variational method and critical point theory induced from invariant subspaces and invariant functional.

引用

页码：821 / 833

页数：13

共 50 条

[1] Infinitely many solutions for a class of Dirichlet quasilinear elliptic systems
Afrouzi, G. A.
Hadjian, A.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (01) : 265 - 272
[2] Infinitely many weak solutions for a class of quasilinear elliptic systems
Bonanno, Gabriele
Bisci, Giovanni Molica
O'Regan, Donal
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (1-2) : 152 - 160
[3] Infinitely many solutions for class of Neumann quasilinear elliptic systems
Shoorabi, Davood Maghsoodi
Afrouzi, Ghasem Alizadeh
[J]. BOUNDARY VALUE PROBLEMS, 2012,
[4] Infinitely many solutions for class of Neumann quasilinear elliptic systems
Davood Maghsoodi Shoorabi
Ghasem Alizadeh Afrouzi
[J]. Boundary Value Problems, 2012
[5] Infinitely many solutions for resonance elliptic systems
Li, Lin
Tang, Chun-Lei
[J]. COMPTES RENDUS MATHEMATIQUE, 2015, 353 (01) : 35 - 40
[6] Infinitely many solutions for a class of semilinear elliptic equations
Wu, Yue
An, Tianqing
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 414 (01) : 285 - 295
[7] INFINITELY MANY SOLUTIONS FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS
李珂
魏红军
[J]. Acta Mathematica Scientia, 2011, 31 (05) : 1899 - 1910
[8] INFINITELY MANY SOLUTIONS FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS
Li Ke
Wei Hongjun
[J]. ACTA MATHEMATICA SCIENTIA, 2011, 31 (05) : 1899 - 1910
[9] INFINITELY MANY POSITIVE SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS
Chen, Hong-ge
Zhang, J. I. A. O. J. I. A. O.
Zhao, J. I. E.
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, : 5909 - 5935
[10] Infinitely many solutions for elliptic systems with critical exponents
Liu, Zhaoxia
Han, Pigong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 353 (02) : 544 - 552

← 1 2 3 4 5 →