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

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

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 from the...

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Bibliographic Details
Published in:Boundary value problems Vol. 2018; no. 1; pp. 1 - 14
Main Authors: Zhou, Chengfang, Ouyang, Zigen
Format: Journal Article
Language:English
Published: New York Hindawi Limited 08-02-2018
Subjects:
Biharmonic equations
Mathematical analysis
Variational methods
Online Access:Get full text
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Summary: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 from the previous literature.
ISSN:1687-2762
1687-2770
DOI:10.1186/s13661-018-0937-7