Geometric regularity estimates for elliptic equations
Eduardo V. O. Teixeira · Contemporary mathematics - American Mathematical Society · 2016
In this article I present a geometric approach for establishing regularity estimates of solutions of diffusive equations. After discussing the heuristics of the method and few examples, I prove an improved regularity estimate along the set of critical points of solutions to elliptic equations in divergence form and a sharp growth estimate for dead-core problems ruled by the p p -Laplace operator.