Variant fountain theorems and their applications

被引：294

作者：

Zou, W ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

MANUSCRIPTA MATHEMATICA | 2001年 / 104卷 / 03期

关键词：

D O I：

10.1007/s002290170032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish some variant fountain theorems without (P.S.)-type assumption. The abstract results will be used to study the symmetric nonlinear Schrodinger equations and Dirichlet boundary value problems. Under no Ambrosetti-Rabinowitz's superquadraticity condition, we obtain infinitely many large energy and small negative energy solutions respectively.

引用

页码：343 / 358

页数：16

共 17 条

[1] COMBINED EFFECTS OF CONCAVE AND CONVEX NONLINEARITIES IN SOME ELLIPTIC PROBLEMS [J].

AMBROSETTI, A ;

BREZIS, H ;

CERAMI, G .

JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 122 (02) :519-543

[2]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[3]

[Anonymous], 1996, VARIATIONAL METHODS, DOI DOI 10.1007/978-3-662-03212-1

[4]

BARTSCH T, 1994, J REINE ANGEW MATH, V451, P149

[5] INFINITELY MANY NONRADIAL SOLUTIONS OF A EUCLIDEAN SCALAR FIELD EQUATION [J].

BARTSCH, T ;

WILLEM, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 117 (02) :447-460

[6] ON AN ELLIPTIC EQUATION WITH CONCAVE AND CONVEX NONLINEARITIES [J].

BARTSCH, T ;

WILLEM, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (11) :3555-3561

[7] INFINITELY MANY SOLUTIONS OF A SYMMETRICAL DIRICHLET PROBLEM [J].

BARTSCH, T .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (10) :1205-1216

[8] 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

[9] NEW TYPES OF TEM CELLS WITH SHAPED INNER AND OUTER CONDUCTORS [J].

COSTAMAGNA, E ;

FANNI, A .

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 1994, 7 (01) :1-2

[10] Local conditions insuring bifurcation from the continuous spectrum [J].

Jeanjean, L .

MATHEMATISCHE ZEITSCHRIFT, 1999, 232 (04) :651-664

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