A note on existence of antisymmetric solutions for a class of nonlinear Schrodinger equations

被引：7

作者：

Carvalho, Janete S. ^{[1
]}

Maia, Liliane A. ^{[1
]}

Miyagaki, Olimpio H. ^{[2
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

[2] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG, Brazil

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2011年 / 62卷 / 01期

关键词：

Nonlinear Schrodinger equation; Concentration-Compactness principle; CONCENTRATION-COMPACTNESS PRINCIPLE; NODAL SOLUTIONS; ELLIPTIC EQUATION; CALCULUS; NUMBER;

D O I：

10.1007/s00033-010-0070-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonlinear Schrodinger equation -Delta U vertical bar V(x)u = f(u) in R(N). We assume that V is invariant under an orthogonal involution and show the existence of a particular type of sign changing solution. The basic tool employed here is the Concentration-Compactness Principle.

引用

页码：67 / 86

页数：20

共 50 条

[21] Existence of positive solutions for a class of quasilinear Schrodinger equations on RN
Chen, Shaoxiong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (02) : 595 - 607
[22] Soliton solutions to a class of relativistic nonlinear Schrodinger equations
Cheng, Yongkuan
Yao, Yangxin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 260 : 342 - 350
[23] SOLITON SOLUTIONS OF A CLASS OF GENERALIZED NONLINEAR SCHRODINGER EQUATIONS
CAO QINGJIE
[J]. Applied Mathematics:A Journal of Chinese Universities, 1997, (04) : 17 - 26
[24] Bound state solutions for a class of nonlinear Schrodinger equations
Bonheure, Denis
Van Schaftingen, Jean
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2008, 24 (01) : 297 - 351
[25] MULTIPLICITY OF POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR SCHRODINGER EQUATIONS
Alves, Claudianor O.
Soares, Sergio H. M.
[J]. ADVANCES IN DIFFERENTIAL EQUATIONS, 2010, 15 (11-12) : 1083 - 1102
[26] EXISTENCE AND MULTIPLICITY OF RADIALLY SYMMETRIC SOLUTIONS FOR NONLINEAR SCHRODINGER EQUATIONS
Kinoshita, Tomoharu
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2023, 62 (02) : 667 - 692
[27] EXISTENCE OF SOLUTIONS TO NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS WITH SINGULAR POTENTIALS
Wang, Qingxuan
Zhao, Dun
Wang, Kai
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[28] Global existence of small classical solutions to nonlinear Schrodinger equations
Ozawa, Tohru
Zhai, Jian
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2008, 25 (02): : 303 - 311
[29] Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations
Chen, Peng
Tang, X. H.
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[30] Existence of Three Solutions to a Class of Nonlinear Equations on Graphs
Yang Liu
[J]. Acta Mathematica Sinica, English Series, 2023, 39 : 1129 - 1137

← 1 2 3 4 5 →