ASYMPTOTIC STABLILITY, CONVEXITY, AND LIPSCHITZ REGULARITY OF DOMAINS IN THE ANISOTROPIC REGIME
Jérôme Vétois · Communications in Contemporary Mathematics · 2010
Anisotropic operators appear in several branches of applied sciences and, in particular, physics. They involve directional derivatives with distinct weights which create distortions in the ambient space. Anisotropic rescaling comes with the notion of asymptotically stable domains. We prove two results: one of geometric nature, the other one of analytic nature, where both guarantee that a given domain is asymptotically stable. We also discuss specific examples.