Programa de Pós-Graduação em Matemática

On the critical point regularity for quasilinear problems

Prof. Eduardo Teixeira

Date: 18th February 11:00 am - 11:45 am (UTC -3) Link: PPGM/UFSCar Youtube channel

Abstract:The Cp' regularity conjecture claims that any solution to −∆p = f(x), with f bounded and p>2, is locally of class Cp' = C1,1/(p-1). That the sharp estimate is attained by a naive looking, radially symmetric example whose p-laplacian is actually constant, begs the question: assuming the Cp' regularity conjecture true, is there any further regularity left for non-homogeneous problems driven by the p-laplacian? In this talk I shall discuss this question through a new prism.