# Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition

@article{Bonaldo2022MultiplicityRF,
title={Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition},
author={L. M. M. Bonaldo and Olimpio Hiroshi Miyagaki and Elard Ju{\'a}rez Hurtado},
journal={Discrete \&amp; Continuous Dynamical Systems},
year={2022}
}
• Published 30 March 2020
• Mathematics
• Discrete &amp; Continuous Dynamical Systems
<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…
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