Infinitely many solutions for a class of perturbed elliptic equations with nonlocal operators
Infinitely many solutions for a class of perturbed elliptic equations with nonlocal operators
In this paper, we consider the following perturbed nonlocal elliptic equation$\left\{ {\begin{array}{*{20}{l}}{ - {{\cal L}_K}u = \lambda u + f(x,u) + g(x,u),\;\;x \in \Omega ,}\\{u = 0,\;\;x \in \mathbb{R}{^N} \setminus \Omega ,}\end{array}} \right.$where $\Omega$ is a smooth bounded domain in $\mathbb{R}{^N}$, $\lambda$ is a real parameter and $g$ is a …