Preprint
Aug 2026
Optimal stability of Dirichlet problem for the regional fractional $p$-Laplacian
We establish the optimal stability of Dirichlet boundary value problem for the regional (fractional) $p$-Laplacian $(-\Delta)^s_{p,\Omega}$ with $0<s\leq 1$, $\frac{1}{s}<p<\infty$ and $\Omega\subset \mathbb{R}^d$ bounded Lipschitz. More precisely, if $u_s \in W^{s,p}(\Omega)$ satisfies $(-\Delta)^s_{p,\Omega} u_s = f_...
Guy Foghem
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