Multiple solutions for superlinear fractional p-Laplacian equations

Antonio Iannizzotto (), Vasile Staicu () and Vincenzo Vespri ()
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Antonio Iannizzotto: University of Cagliari
Vasile Staicu: University of Aveiro
Vincenzo Vespri: University of Florence

Partial Differential Equations and Applications, 2025, vol. 6, issue 2, 1-20

Abstract: Abstract We study a Dirichlet problem driven by the (degenerate or singular) fractional p-Laplacian and involving a $$(p-1)$$ ( 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.

Keywords: Fractional p-Laplacian; Variational methods; Morse theory; 35A15; 35R11; 58E05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s42985-025-00316-3

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