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

Abstract

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 from the previous literature.

Keywords

• Biharmonic equations
• Singular potential
• Morse theory
• Critical groups