Relations between the mountain pass theorem and local minima

被引：135

作者：

Bonanno, Gabriele ^{[1
]}

机构：

[1] Univ Messina, Fac Engn, Math Sect, Dept Sci Engn & Architecture, I-98166 Messina, Italy

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2012年 / 1卷 / 03期

关键词：

Variational method; critical point; mountain pass; elliptic equation; AMBROSETTI;

D O I：

10.1515/anona-2012-0003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence results of two critical points for functionals unbounded from below are established after pointing out a characterization of the mountain pass geometry. Applications to elliptic Dirichlet problems are then presented.

引用

页码：205 / 220

页数：16

共 18 条

[1]

Ambrosetti A., 2007, NONLINEAR ANAL SEMIL

[2]

[Anonymous], 2010, Encyclopedia of Mathematics and its Applications

[3]

[Anonymous], 2000, CONSTRCTIVE EXPT NON, V27, P275

[4]

Bonanno G., PREPRINT

[5] A critical point theorem via the Ekeland variational principle [J].

Bonanno, Gabriele .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (05) :2992-3007

[6]

Ghoussoub N., 1993, CAMBRIDGE TRACTS MAT, V107

[7] The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of p-Laplacian type without the Ambrosetti-Rabinowitz condition [J].

Li, Gongbao ;

Yang, Caiyun .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) :4602-4613

[8]

MARANO SA, COMMUN PURE IN PRESS

[9] Superlinear problems without Ambrosetti and Rabinowitz growth condition [J].

Miyagaki, O. H. ;

Souto, M. A. S. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (12) :3628-3638

[10]

Motreanu D., 2003, NONCON OPTIM ITS APP, V67

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