Fourth-order Navier boundary value problem with combined nonlinearities

被引：24

作者：

Pu, Yang ^{[1
,2
]}

Wu, Xing-Ping ^{[1
]}

Tang, Chun-Lei ^{[1
,2
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] China W Nomal Univ, Coll Math & Informat, Nanchang 637002, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 398卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fourth-order Navier boundary value problem; The least action principle; The Ekeland variational principle; Mountain pass theorem; SEMILINEAR ELLIPTIC PROBLEMS; NONTRIVIAL SOLUTIONS; EXISTENCE; EQUATIONS; MULTIPLICITY;

D O I：

10.1016/j.jmaa.2012.09.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and multiplicity of solutions are proved for the fourth-order Navier boundary value problem with indefinite nonlinearity by using the least action principle, the Ekeland variational principle and the mountain pass theorem. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：798 / 813

页数：16

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