Fourth-order Navier boundary value problem with combined nonlinearities

被引：23

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

共 20 条

[11] Multiple solutions for a fourth-order asymptotically linear elliptic problem [J].

Qian, Ai Xia ;

Li, Shu Jie .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (04) :1121-1126

[12]

SCHECHTER M, 1991, J LOND MATH SOC, V44, P491

[13] Multiplicity of solutions for a class of fourth elliptic equations [J].

Wang, Weihua ;

Zang, Aibin ;

Zhao, Peihao .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) :4377-4385

[14] Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity [J].

Xu, GX ;

Zhang, JH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (02) :633-640

[15] Existence of solutions for some fourth-order nonlinear elliptic problems [J].

Yang, Yang ;

Zhang, Jihui .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (01) :128-137

[16] SOME EXISTENCE RESULTS FOR A CLASS OF FOURTH ORDER ELLIPTIC EQUATIONS WITH NONSMOOTH POTENTIAL [J].

Zhang, Guoqing ;

Liu, Sanyang .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (05) :1729-1743

[17] Multiple nontrivial solutions for some fourth-order semilinear elliptic problems [J].

Zhang, JH ;

Li, SJ .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (02) :221-230

[18]

Zhang JH, 2001, NONLINEAR ANAL-THEOR, V45, P29

[19]

Zhang J, 2011, ELECTRON J QUAL THEO, P1

[20] Sign-changing solutions for some fourth-order nonlinear elliptic problems [J].

Zhou, Jianwen ;

Wu, Xian .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (01) :542-558

← 1 2 →