Singular potential biharmonic problem with fixed energy

被引：0

作者：

Tacksun Jung

Q-Heung Choi

机构：

[1] Kunsan National University,Department of Mathematics

[2] Inha University,Department of Mathematics Education

来源：

Boundary Value Problems | / 2016卷

关键词：

perturbation of a biharmonic problem; singular potential; fixed energy; variational method; critical point theory; condition; 35J35; 35J40;

D O I：

暂无

中图分类号：

学科分类号：

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

共 7 条

[1]

Choi QH(1999)Multiplicity results on nonlinear biharmonic operator Rocky Mt. J. Math. 29 141-164

[2]

Jung T(1997)Multiplicity results on a nonlinear biharmonic equation Nonlinear Anal. TMA 30 5083-5092

[3]

Jung TS(1992)A note on a semilinear elliptic problem Differ. Integral Equ. 5 561-565

[4]

Choi QH(1998)Multiplicity results for a fourth-order semilinear elliptic problem Nonlinear Anal. TMA 31 895-908

[5]

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