Work

On a doubly sublinear fractional p-Laplacian equation

Year: 2025

Type: article

Abstract: We prove a bifurcation result for a Dirichlet problem driven by the fractional p -Laplacian (either degenerate or singular), in which the reaction is the difference between two sublinear powers of the unknown. In our argument, a fundamental role is played by a Sobolev vs. Hölder minima principle, already known for the degenerate case, which here we extend to the singular case with a simpler proof.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-025-01148-1

Authors: Antonio Iannizzotto, Sunra Mosconi

Institutions: University of Cagliari, University of Catania

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Università di Catania