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

摘要

In this paper, we study a class of biharmonic equations with a singular potential in (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.