Radial solutions of superlinear equations on RN -: Part I:: A global variational approach

被引：41
作者：
Conti, M
Merizzi, L
Terracini, S
机构：
[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] Univ Milan, Dipartimento Matemat, Milan, Italy
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2000年 / 153卷 / 04期
关键词：
D O I：
10.1007/s002050050015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a global variational approach to the search for multiple nodal solutions u is an element of H-1 (R-N) to a class of elliptic equations of type -Delta u(x) = f(\x\, u(x)), x is an element of R-N, where N greater than or equal to 2, f is super-linear and subcritical, and f(\x\, 0) = 0.
引用
收藏
页码：291 / 316
页数：26
相关论文
共 21 条
[1]   NODAL PROPERTIES OF SOLUTIONS OF PARABOLIC EQUATIONS [J].
ANGENENT, S .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1991, 21 (02) :585-592
[2]   INFINITELY MANY RADIAL SOLUTIONS OF A SEMILINEAR ELLIPTIC PROBLEM ON R(N) [J].
BARTSCH, T ;
WILLEM, M .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 124 (03) :261-276
[3]  
BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313
[4]  
BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P347
[5]  
Capietto A, 1995, TOPOL METHOD NONL AN, V6, P175
[6]   INFINITELY MANY RADIALLY SYMMETRICAL-SOLUTIONS TO A SUPERLINEAR DIRICHLET PROBLEM IN A BALL [J].
CASTRO, A ;
KUREPA, A .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 101 (01) :57-64
[7]  
Chabrowski J., 1996, COMMENT MATH U CAROL, V37, P1
[8]   Radial solutions of superlinear equations on RN -: Part II:: The forced case [J].
Conti, M ;
Terracini, S .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2000, 153 (04) :317-339
[9]   EXISTENCE OF NODAL SOLUTIONS OF SEMILINEAR EQUATIONS IN RN [J].
GRILLAKIS, M .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1990, 85 (02) :367-400
[10]   ON THE INFINITELY MANY SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION [J].
JONES, C ;
KUPPER, T .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (04) :803-835
123