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. H ̈older minima principle, already known for the degenerate case, which here we extend to the singular case with a simpler proof.
On a doubly sublinear fractional p-Laplacian equation
Iannizzotto, Antonio;Mosconi, Sunra
2026-01-01
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. H ̈older minima principle, already known for the degenerate case, which here we extend to the singular case with a simpler proof.
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