Singular potential biharmonic problem with fixed energy

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, Inchon 402751, South Korea

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

perturbation of a biharmonic problem; singular potential; fixed energy; variational method; critical point theory; (PS)(c) condition; EQUATION;

D O I：

10.1186/s13661-016-0564-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate multiple solutions for the perturbation of a singular potential biharmonic problem with fixed energy. We get a theorem that shows the existence of at least one nontrivial weak solution under some conditions and fixed energy on which the corresponding functional of the equation satisfies the Palais-Smale condition. We obtain this result by variational method and critical point theory.

引用

页码：1 / 18

页数：18

共 6 条

[1]

[Anonymous], 1992, Differ Integral Equ

[2]

[Anonymous], 1986, C BOARD MATH SCI

[3] Multiplicity results on a fourth order nonlinear elliptic equation [J].