A. Salib

collaborators

2 papers

math.AP2026

ACF Almost Monotonicity at Infinity with Applications to Perturbed Global Solutions

Simon Eberle, Anthony Salib, Georg S. Weiss +1

We study the large-scale behavior of the coincidence set of perturbations of global solutions to the classical obstacle problem in $R^{n} ∖ B_{1}$ , with blow-down invar…

math.AP2024

A singular perturbation approach to the Dirichlet-area minimisation problem

Anthony Salib, Georg S. Weiss

We study both one and two-phase minimisers of the Dirichlet-area energy $E (v) = \int_{B_{1}} ∣\nabla v ∣^{2} + P er ({v > 0}, B_{1}) .$ In the two-phase case, we show that the energ…