An existence result for superparabolic functions
The authors study superparabolic functions related to nonlinear parabolic equations. They are defined by means of a parabolic comparison principle with respect to solutions. We recall that superparabolic solutions are related to viscosity solutions of the \(p\)-Laplacian thanks to very recent and deep results. The authors shows a interesting property, i.e., they show that every superparabolic function satisfies the equation with a positive Radon measure on the right-hand side, and conversely, for every finite positive Radon measure there exists a superparabolic function which is solution to the corresponding equation with measure data.
scientific article; zbMATH DE number 5655694