Singular potential biharmonic problem with fixed energy
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- 作者：Tacksun Jung ; Q-Heung Choi
- 关键词：perturbation of a biharmonic problem ; singular potential ; fixed energy ; variational method ; critical point theory ; \((\mathit{P.S.})_{c}\) ; condition
- 刊名：Boundary Value Problems
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：2016
- 期：1
- 全文大小：1,499 KB
- 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1687-2770
文摘
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.