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On nontrivial solutions of a nonlinear Schrodinger equation with magnetic field
被引:12
作者
:
Pankov, AA
论文数:
0
引用数:
0
h-index:
0
机构:
Vinnitsa State Pedag Univ, Vinnitsa, Ukraine
Vinnitsa State Pedag Univ, Vinnitsa, Ukraine
Pankov, AA
[
1
]
机构
:
[1]
Vinnitsa State Pedag Univ, Vinnitsa, Ukraine
来源
:
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
|
2003年
/ 37卷
/ 01期
关键词
:
nonlinear Schrodinger equation;
Palais-Smale condition;
multiplicity;
D O I
:
10.1023/A:1022984313164
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We consider nonlinear magnetic Schrodinger equations tinder assumptions that imply the Palais-Smale condition for the corresponding functional and prove some results on the existence and multiplicity of solutions vanishing at infinity.
引用
收藏
页码:75 / 77
页数:3
相关论文
共 14 条
[1]
SCHRODINGER OPERATORS WITH MAGNETIC-FIELDS .1. GENERAL INTERACTIONS
AVRON, J
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT MATH, PRINCETON, NJ 08540 USA
AVRON, J
HERBST, I
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT MATH, PRINCETON, NJ 08540 USA
HERBST, I
SIMON, B
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT MATH, PRINCETON, NJ 08540 USA
SIMON, B
[J].
DUKE MATHEMATICAL JOURNAL,
1978,
45
(04)
: 847
-
883
[2]
INFINITELY MANY SOLUTIONS OF A SYMMETRICAL DIRICHLET PROBLEM
BARTSCH, T
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematisches Institut, Universität Heidelberg, 6900 Heidelberg
BARTSCH, T
[J].
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
1993,
20
(10)
: 1205
-
1216
[3]
Nonlinear Schrodinger equations with steep potential well
Bartsch, T
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Giessen, Inst Math, D-35392 Giessen, Germany
Bartsch, T
Pankov, A
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Giessen, Inst Math, D-35392 Giessen, Germany
Pankov, A
Wang, ZQ
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Giessen, Inst Math, D-35392 Giessen, Germany
Wang, ZQ
[J].
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,
2001,
3
(04)
: 549
-
569
[4]
EXISTENCE AND MULTIPLICITY RESULTS FOR SOME SUPERLINEAR ELLIPTIC PROBLEMS ON R(N)
BARTSCH, T
论文数:
0
引用数:
0
h-index:
0
机构:
UTAH STATE UNIV,DEPT MATH & STAT,LOGAN,UT 84322
UTAH STATE UNIV,DEPT MATH & STAT,LOGAN,UT 84322
BARTSCH, T
WANG, ZQ
论文数:
0
引用数:
0
h-index:
0
机构:
UTAH STATE UNIV,DEPT MATH & STAT,LOGAN,UT 84322
UTAH STATE UNIV,DEPT MATH & STAT,LOGAN,UT 84322
WANG, ZQ
[J].
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
1995,
20
(9-10)
: 1725
-
1741
[5]
CINGOLANI S, 2001, ARXIVMATHAP0107047
[6]
ESTEBAN EM, 1989, PARTIAL DIFFERENTIAL, V1, P401
[7]
Discreteness of spectrum for the magnetic Schrodinger operators
Kondratiev, V
论文数:
0
引用数:
0
h-index:
0
机构:
Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119899, Russia
Kondratiev, V
Shubin, M
论文数:
0
引用数:
0
h-index:
0
机构:
Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119899, Russia
Shubin, M
[J].
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
2002,
27
(3-4)
: 477
-
525
[8]
KONDRATIEV V, 2002, ARXIVMATHSP0206140
[9]
Existence and semi-classical limit of the least energy solution to a nonlinear Schrodinger equation with electromagnetic fields
Kurata, K
论文数:
0
引用数:
0
h-index:
0
机构:
Tokyo Metropolitan Univ, Dept Math, Hachioji, Tokyo, Japan
Tokyo Metropolitan Univ, Dept Math, Hachioji, Tokyo, Japan
Kurata, K
[J].
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
2000,
41
(5-6)
: 763
-
778
[10]
SCHRODINGER-OPERATORS WITH SINGULAR MAGNETIC VECTOR POTENTIALS
LEINFELDER, H
论文数:
0
引用数:
0
h-index:
0
LEINFELDER, H
SIMADER, CG
论文数:
0
引用数:
0
h-index:
0
SIMADER, CG
[J].
MATHEMATISCHE ZEITSCHRIFT,
1981,
176
(01)
: 1
-
19
←
1
2
→
共 14 条
[1]
SCHRODINGER OPERATORS WITH MAGNETIC-FIELDS .1. GENERAL INTERACTIONS
AVRON, J
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT MATH, PRINCETON, NJ 08540 USA
AVRON, J
HERBST, I
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT MATH, PRINCETON, NJ 08540 USA
HERBST, I
SIMON, B
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT MATH, PRINCETON, NJ 08540 USA
SIMON, B
[J].
DUKE MATHEMATICAL JOURNAL,
1978,
45
(04)
: 847
-
883
[2]
INFINITELY MANY SOLUTIONS OF A SYMMETRICAL DIRICHLET PROBLEM
BARTSCH, T
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematisches Institut, Universität Heidelberg, 6900 Heidelberg
BARTSCH, T
[J].
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
1993,
20
(10)
: 1205
-
1216
[3]
Nonlinear Schrodinger equations with steep potential well
Bartsch, T
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Giessen, Inst Math, D-35392 Giessen, Germany
Bartsch, T
Pankov, A
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Giessen, Inst Math, D-35392 Giessen, Germany
Pankov, A
Wang, ZQ
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Giessen, Inst Math, D-35392 Giessen, Germany
Wang, ZQ
[J].
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,
2001,
3
(04)
: 549
-
569
[4]
EXISTENCE AND MULTIPLICITY RESULTS FOR SOME SUPERLINEAR ELLIPTIC PROBLEMS ON R(N)
BARTSCH, T
论文数:
0
引用数:
0
h-index:
0
机构:
UTAH STATE UNIV,DEPT MATH & STAT,LOGAN,UT 84322
UTAH STATE UNIV,DEPT MATH & STAT,LOGAN,UT 84322
BARTSCH, T
WANG, ZQ
论文数:
0
引用数:
0
h-index:
0
机构:
UTAH STATE UNIV,DEPT MATH & STAT,LOGAN,UT 84322
UTAH STATE UNIV,DEPT MATH & STAT,LOGAN,UT 84322
WANG, ZQ
[J].
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
1995,
20
(9-10)
: 1725
-
1741
[5]
CINGOLANI S, 2001, ARXIVMATHAP0107047
[6]
ESTEBAN EM, 1989, PARTIAL DIFFERENTIAL, V1, P401
[7]
Discreteness of spectrum for the magnetic Schrodinger operators
Kondratiev, V
论文数:
0
引用数:
0
h-index:
0
机构:
Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119899, Russia
Kondratiev, V
Shubin, M
论文数:
0
引用数:
0
h-index:
0
机构:
Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119899, Russia
Shubin, M
[J].
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
2002,
27
(3-4)
: 477
-
525
[8]
KONDRATIEV V, 2002, ARXIVMATHSP0206140
[9]
Existence and semi-classical limit of the least energy solution to a nonlinear Schrodinger equation with electromagnetic fields
Kurata, K
论文数:
0
引用数:
0
h-index:
0
机构:
Tokyo Metropolitan Univ, Dept Math, Hachioji, Tokyo, Japan
Tokyo Metropolitan Univ, Dept Math, Hachioji, Tokyo, Japan
Kurata, K
[J].
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
2000,
41
(5-6)
: 763
-
778
[10]
SCHRODINGER-OPERATORS WITH SINGULAR MAGNETIC VECTOR POTENTIALS
LEINFELDER, H
论文数:
0
引用数:
0
h-index:
0
LEINFELDER, H
SIMADER, CG
论文数:
0
引用数:
0
h-index:
0
SIMADER, CG
[J].
MATHEMATISCHE ZEITSCHRIFT,
1981,
176
(01)
: 1
-
19
←
1
2
→