L. Capogna

collaborators

2 papers

math.AP2026

Fractional $p$ -Laplacians via Neumann problems in unbounded metric measure spaces

Luca Capogna, Ryan Gibara, Riikka Korte +1

We prove well-posedness, Harnack inequality and sharp regularity of solutions to a fractional $p$ -Laplace non-homogeneous equation $(- I^_{p})^{s} u = f$ , with $0 < s < 1$ , $1 < p < \infty$ , for…

math.AP2025

Sharp HÃ¶lder regularity of weak solutions of the Neumann problem and applications to nonlocal PDE in metric measure spaces

Luca Capogna, Ryan Gibara, Riikka Korte +1

We prove global HÃ¶lder regularity result for weak solutions $u \in N^{1, p} (I^c ◯, I^¼)$ to a PDE of $p$ -Laplacian type with a measure as non-homogeneous term: \[ -\text{div}\!\left( |\…

Fractional p-Laplacians via Neumann problems in unbounded metric measure spaces

Sharp HÃ¶lder regularity of weak solutions of the Neumann problem and applications to nonlocal PDE in metric measure spaces

Fractional $p$ -Laplacians via Neumann problems in unbounded metric measure spaces