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arXiv · 2411.10119

Multiple solutions for superlinear fractional $p$-Laplacian equations

Antonio Iannizzotto·Vasile Staicu·Vincenzo Vespri
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Abstract

We study a Dirichlet problem driven by the (degenerate or singular) fractional $p$-Laplacian and involving a $(p-1)$-superlinear reaction at infinity, not necessarily satisfying the Ambrosetti-Rabinowitz condition. Using critical point theory, truncation, and Morse theory, we prove the existence of at least three nontrivial solutions to the problem.

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Antonio Iannizzotto, Vasile Staicu, Vincenzo Vespri. 2024-11-15. Multiple solutions for superlinear fractional $p$-Laplacian equations. https://arxiv.org/abs/2411.10119

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