On a doubly sublinear fractional $p$-Laplacian equation

A. Iannizzotto; S. Mosconi

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arXiv · 2409.03616

On a doubly sublinear fractional $p$-Laplacian equation

A. Iannizzotto·S. Mosconi

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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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A. Iannizzotto, S. Mosconi. 2024-09-05. On a doubly sublinear fractional $p$-Laplacian equation. https://arxiv.org/abs/2409.03616

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