NONTRIVIAL SOLUTION FOR THE BIHARMONIC BOUNDARY VALUE PROBLEM WITH SOME NONLINEAR TERM

被引：0

作者：

Jung, Tacksun ^{[1
]}

Choi, Q-Heung ^{[2
]}

机构：

[1] Kunsan Natl Univ, Dept Math, Kunsan 573701, South Korea

[2] Inha Univ, Dept Math Educ, Incheon 402751, South Korea

来源：

KOREAN JOURNAL OF MATHEMATICS | 2013年 / 21卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Biharmonic boundary value problem; nonlinear term decaying at the origin; bounded nonlinear term; variational method; critical point theory; mountain pass geometry; (PS) condition;

D O I：

10.11568/kjm.2013.21.2.117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the existence of weak solutions for the biharmonic boundary value problem with nonlinear term decaying at the origin. We get a theorem which shows the existence of nontrivial solutions for the biharmonic boundary value problem with nonlinear term decaying at the origin. We obtain this result by reducing the biharmonic problem with nonlinear term to the biharmonic problem with bounded nonlinear term and then approaching the variational method and using the mountain pass geometry for the reduced biharmonic problem with bounded nonlinear term.

引用

页码：117 / 124

页数：8

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