Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity

被引：54

作者：

Xu, GX ^{[1
]}

Zhang, JH ^{[1
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 281卷 / 02期

关键词：

variational method; biharmonic operator; superlinear; sublinear; positive solutions; suspension bridge;

D O I：

10.1016/S0022-247X(03)00170-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of positive solutions for the problem [GRAPHICS] where c < lambda(1)(Omega) and f (x,u) satisfies the local superlinearity and sublinearity condition. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：633 / 640

页数：8

共 9 条

[1]

CASTANEDA N, 2000, APPL ANAL, V76, P231

[2]

DEFIGUEIREDO DG, LOCAL SUPERLINEARITY

[3] LARGE-AMPLITUDE PERIODIC OSCILLATIONS IN SUSPENSION BRIDGES - SOME NEW CONNECTIONS WITH NONLINEAR-ANALYSIS [J].

LAZER, AC ;

MCKENNA, PJ .

SIAM REVIEW, 1990, 32 (04) :537-578

[4] GLOBAL BIFURCATION AND A THEOREM OF TARANTELLO [J].

LAZER, AC ;

MCKENNA, PJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 181 (03) :648-655

[5] Multiplicity results for a fourth-order semilinear elliptic problem [J].

Micheletti, AM ;

Pistoia, A .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 31 (07) :895-908

[6]

Struwe M., 1990, Variational methods: applications to nonlinear partial differential equations and Hamiltonian systems

[7]

Tarantello G., 1992, DIFFER INTEGRAL EQU, V5, P561

[8]

XU G, UNPUB POSITIVE SOLUT

[9]

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

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