<p style='text-indent:20px;'>In this paper, we study the existence and multiplicity of weak solutions for a general class elliptic equations <inline-formula><tex-math id="M1">\begin{document} $( \mathscr{P}_\lambda)$\end{document}</tex-math></inline-formula> in smooth bounded domain, driven by nonlocal integrodifferential operator id="M2">\begin{document}$ \math...