Work

Multiple solutions for superlinear fractional p-Laplacian equations

Year: 2025

Type: article

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.

Source: Partial Differential Equations and Applications

DOI: 10.1007/s42985-025-00316-3

Authors: Antonio Iannizzotto, Vasile Staicu, Vincenzo Vespri

Institutions: University of Cagliari, University of Aveiro, University of Florence

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Cagliari, Ministero dell'Università e della Ricerca, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni