4 papers · 1 filter
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 , with blow-down invar…
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 In the two-phase case, we show that the energ…
Classification of global solutions to the obstacle problem in the plane
Anthony Salib, Georg Weiss
Global solutions to the obstacle problem were first completely classified in two dimensions by Sakai using complex analysis techniques. Although the complex analysis approach produ…
On the viscosity linearization method without compactness
Anthony Salib
Savin's small perturbation approach has had far reaching applications in the theory of non-linear elliptic and parabolic PDE. In this short note, we revisit his seminal proof of De…