Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition
Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition
<p style='text-indent:20px;'>In this paper, we study the existence and multiplicity of weak solutions for a general class of elliptic equations <inline-formula><tex-math id="M1">\begin{document} $( \mathscr{P}_\lambda)$\end{document}</tex-math></inline-formula> in a smooth bounded domain, driven by a nonlocal integrodifferential operator <inline-formula><tex-math id="M2">\begin{document}$ \mathscr{L}_{\mathcal{A}K} $\end{document}</tex-math></inline-formula> with Dirichlet boundary conditions involving variable exponents without Ambrosetti and Rabinowitz …