On a class of coupled elliptic systems in RN

被引：0
作者：
Maia, Liliane A. [1 ]
Silva, Elves A. B. [1 ]
机构：
[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2007年 / 14卷 / 3-4期
关键词：
elliptic systems; variational methods; superquadratic non-linearity;
D O I：
10.1007/s00030-007-5039-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is established the existence and multiplicity of solutions for a class of coupled semilinear elliptic systems in R-N where none of the potentials are coercive. The main goal is to consider systems where the primitive of the nonlinearity is superquadratic on appropriate directions.
引用
收藏
页码：303 / 313
页数：11
相关论文
共 15 条
  • [1] Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
  • [2] [Anonymous], 2002, INTEGRAL EQU
  • [3] EXISTENCE AND MULTIPLICITY RESULTS FOR SOME SUPERLINEAR ELLIPTIC PROBLEMS ON R(N)
    BARTSCH, T
    WANG, ZQ
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (9-10) : 1725 - 1741
  • [4] A unified approach to a class of strongly indefinite functionals
    Costa, DG
    Magalhaes, CA
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 125 (02) : 521 - 547
  • [5] Furtado MF, 2003, DISCRETE CONT DYN-A, P295
  • [6] FURTADO MF, 2002, COMMUN PART DIFF EQ, V27, P515
  • [7] Rabinowitz P. H., 1986, CBMS REG C SER MATH, V65
  • [8] ON A CLASS OF NONLINEAR SCHRODINGER-EQUATIONS
    RABINOWITZ, PH
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1992, 43 (02): : 270 - 291
  • [9] Silva E.A.B., 2000, ELECTRON J DIFFER EQ, V6, P155
  • [10] SILVA EAB, 2001, ELECT J DIFFERENTIAL, V6, P267
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