Joan Domingo-Pasarin

collaborators

2 papers

math.AP2026

Boundary regularity of harmonic functions in $C^{1}$ slit domains

Joan Domingo-Pasarin, Pablo Hidalgo-Palencia, Alejandro Martínez +1

We establish precise upper and lower estimates for harmonic functions vanishing on the slit of a $C^{1}$ slit domain, with no assumption that the slit lies in a hyperplane. The class…

math.AP2026

Regularity of Lipschitz free boundaries for weak solutions of Alt-Caffarelli type problems

Joan Domingo-Pasarin, Xavier Ros-Oton

Motivated by the Serrin problem, we study weak solutions of the generalised Alt-Caffarelli problem $- Δ u = f$ in $Ω$ , $u = 0$ on $\partial Ω$ , $\partial_{ν} u = Q$ on $\partial Ω$ . Our m…

Boundary regularity of harmonic functions in C1 slit domains

Regularity of Lipschitz free boundaries for weak solutions of Alt-Caffarelli type problems

Boundary regularity of harmonic functions in $C^{1}$ slit domains