AN APPLICATION OF THE LERAY-SCHAUDER DEGREE THEORY TO THE VARIABLE COEFFICIENT SEMILINEAR BIHARMONIC PROBLEM

被引：0

作者：

Choi, Q-Heung ^{[1
]}

Jung, Tacksun ^{[2
]}

机构：

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

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

来源：

KOREAN JOURNAL OF MATHEMATICS | 2011年 / 19卷 / 01期

关键词：

eigenvalue; Dirichlet boundary condition; biharmonic problem; variable coefficient; degree theory;

D O I：

10.11568/kjm.2011.19.1.065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain multiplicity results for the nonlinear biharmonic problem with variable coefficient. We prove by the Leray-Schauder degree theory that the nonlinear biharmonic problem has multiple solutions for the biharmonic problem with the variable coefficient semilinear term under some conditions.

引用

页码：65 / 75

页数：11

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