3 papers
math.AP2026
Young's law for a nonlocal isoperimetric model of charged capillarity droplets
Michael Goldman, Matteo Novaga, Adriano Prade
We study a variational problem modeling equilibrium configurations of charged liquid droplets resting on a surface under a convexity constraint. In the two-dimensional case with Co…
math.AP2025
Boundary regularity for nonlocal elliptic equations over Reifenberg flat domains
Adriano Prade
We prove sharp boundary regularity of solutions to nonlocal elliptic equations arising from operators comparable to the fractional Laplacian over Reifenberg flat sets and with null…
math.AP2025
Boundary Hölder regularity for the fractional Laplacian over Reifenberg flat domains via ABP maximum principle
Adriano Prade
For , we consider the nonlocal equation over a Reifenberg flat domain with and null Dirichlet exterior condition. Given $α\in…