R. Korte

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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.AP2026

Solving Dirichlet problem on unbounded uniform domains by using sphericalization techniques

Riikka Korte, Sari Rogovin, Nageswari Shanmugalingam +1

Within the setting of metric spaces equipped with a doubling measure and supporting a $p$ -PoincarÃ© inequality, establishing existence of solutions to Dirichlet problem in a bounde…

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

Solving Dirichlet problem on unbounded uniform domains by using sphericalization techniques

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