A DOUBLE EIGENVALUE PROBLEM FOR SCHRODINGER EQUATIONS INVOLVING SUBLINEAR NONLINEARITIES AT

被引:0
作者
Kristaly, Alexandru [1 ]
机构
[1] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania
关键词
Schrodinger equation; sublinearity at infinity; eigenvalue problem;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present some multiplicity results concerning parameterized Schrodinger type equations which involve nonlinearities with sublinear growth at infinity. Some stability properties of solutions with respect to the parameters are also established in an appropriate Sobolev space.
引用
收藏
页数:11
相关论文
共 25 条
[1]   THE DUAL VARIATIONAL PRINCIPLE AND ELLIPTIC PROBLEMS WITH DISCONTINUOUS NONLINEARITIES [J].
AMBROSETTI, A ;
BADIALE, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 140 (02) :363-373
[2]  
[Anonymous], 2002, INTEGRAL EQU
[3]  
[Anonymous], 1986, CBMS REGIONAL C SERI
[4]   Sign changing solutions of superlinear Schrodinger equations [J].
Bartsch, T ;
Liu, ZL ;
Weth, T .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (1-2) :25-42
[5]   Nonlinear Schrodinger equations with steep potential well [J].
Bartsch, T ;
Pankov, A ;
Wang, ZQ .
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2001, 3 (04) :549-569
[6]   Multiple positive solutions for a nonlinear Schrodinger equation [J].
Bartsch, T ;
Wang, ZQ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2000, 51 (03) :366-384
[7]   EXISTENCE AND MULTIPLICITY RESULTS FOR SOME SUPERLINEAR ELLIPTIC PROBLEMS ON R(N) [J].
BARTSCH, T ;
WANG, ZQ .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (9-10) :1725-1741
[8]   Some remarks on a three critical points theorem [J].
Bonanno, G .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (04) :651-665
[9]  
Chabrowski J, 2002, MATH NACHR, V233, P55, DOI 10.1002/1522-2616(200201)233:1<55::AID-MANA55>3.3.CO
[10]  
2-I