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Multiple solutions for superlinear fractional $p$-Laplacian equations (2411.10119v1)
Published 15 Nov 2024 in math.AP
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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