On the Schrodinger-Maxwell equations under the effect of a general nonlinear term

被引:214
作者
Azzollini, A. [2 ]
d'Avenia, P. [1 ]
Pomponio, A. [1 ]
机构
[1] Politecn Bari, Dipartimento Matemat, I-70125 Bari, Italy
[2] Univ Basilicata, Dipartimento Matemat & Informat, I-85100 Potenza, Italy
来源
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2010年 / 27卷 / 02期
关键词
KLEIN-GORDON-MAXWELL; SCALAR FIELD-EQUATIONS; SOLITARY WAVES; POSITIVE SOLUTION; GROUND-STATE; R-N; EXISTENCE; SYSTEM;
D O I
10.1016/j.anihpc.2009.11.012
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we prove the existence of a nontrivial solution to the nonlinear Schrodinger-Maxwell equations in R-3, assuming on the nonlinearity the general hypotheses introduced by Berestycki and Lions. (C) 2009 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:779 / 791
页数:13
相关论文
共 27 条
[1]   Multiple bound states for the Schrodinger-Poisson problem [J].
Ambrosetti, Antonio ;
Ruiz, David .
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2008, 10 (03) :391-404
[2]   Ground state solutions for the nonlinear Schrodinger-Maxwell equations [J].
Azzollini, A. ;
Pomponio, A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (01) :90-108
[3]   On the Schrodinger Equation in RN under the Effect of a General Nonlinear Term [J].
Azzollini, A. ;
Pomponio, A. .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2009, 58 (03) :1361-1378
[4]   Solitons and the electromagnetic field [J].
Benci, V ;
Fortunato, D ;
Masiello, A ;
Pisani, L .
MATHEMATISCHE ZEITSCHRIFT, 1999, 232 (01) :73-102
[5]  
Benci V., 1998, TOPOL METHOD NONL AN, V11, P283
[6]  
Benci V, 2009, REND LINCEI-MAT APPL, V20, P243
[7]  
BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313
[8]  
BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P347
[9]  
Coclite G.M., 2003, Commun. Appl. Anal, V7, P417
[10]  
Coclite G. M., 2004, ELECT J DIFFERENTIAL, V94, P1