Nonlinear boundary value problems with concave nonlinearities near the origin

被引：153

作者：

Wang, ZQ ^{[1
]}

机构：

[1] Utah State Univ, Dept Math, Logan, UT 84322 USA

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2001年 / 8卷 / 01期

关键词：

nonlinear boundary value problems; concave non-linearities;

D O I：

10.1007/PL00001436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the effect of concave nonlinearities for the solution structure of nonlinear boundary value problems such as Dirichlet and Neumann boundary Value problems of elliptic equations and periodic boundary value problems for Hamiltonian systems and nonlinear wave equations.

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页码：15 / 33

页数：19

相关论文

共 17 条

[1] Multiplicity results for some nonlinear elliptic equations [J].

Ambrosetti, A ;

Azorero, JG ;

Peral, I .

JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 137 (01) :219-242

[2] 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

[3] THE DUAL VARIATIONAL PRINCIPLE AND ELLIPTIC PROBLEMS WITH DISCONTINUOUS NONLINEARITIES [J].

AMBROSETTI, A ;

BADIALE, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 140 (02) :363-373

[4] MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT OR WITH A NONSYMMETRIC TERM [J].

AZORERO, JG ;

ALONSO, IP .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 323 (02) :877-895

[5] 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

[6]

BARTSCH T, PERIODIC SOLUTIONS W

[7] EXISTENCE AND MULTIPLICITY RESULTS FOR HOMOGENEOUS 2ND-ORDER DIFFERENTIAL-EQUATIONS [J].

BENNAOUM, AK ;

TROESTLER, C ;

WILLEM, M .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 112 (01) :239-249

[8]

BREZIS H, 1979, J MATH PURE APPL, V58, P137

[9] PERIODIC-SOLUTIONS OF NON-LINEAR VIBRATING STRINGS AND DUALITY PRINCIPLES [J].

BREZIS, H .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 8 (03) :409-426

[10]

Brezis H., 1980, COMMUN PUR APPL MATH, V3, P667, DOI DOI 10.1002/CPA.3160330507