Existence of nontrivial solutions for a class of biharmonic equations with singular potential in RN $\mathbb{R}^{N}$

Existence of nontrivial solutions for a class of biharmonic equations with singular potential in RN $\mathbb{R}^{N}$

Abstract In this paper, we study a class of biharmonic equations with a singular potential in RN $\mathbb{R}^{N}$. Under appropriate assumptions on the nonlinearity, we establish some existence results via the Morse theory and variational methods. We significantly extend and complement some results...

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Bibliographic Details
Main Authors: Chengfang Zhou, Zigen Ouyang
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Boundary Value Problems
Subjects:
Biharmonic equations
Singular potential
Morse theory
Critical groups
Online Access:http://link.springer.com/article/10.1186/s13661-018-0937-7

Internet

http://link.springer.com/article/10.1186/s13661-018-0937-7

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