Applied Mathematics and Optimization, Vol.73, No.1, 153-163, 2016
A Sufficient Condition for a Blow-Up in the Space of Absolutely Continuous Functions for the Very Weak Solution
Given an open bounded smooth set Omega in R-N, N >= 3, we provide a sufficient condition on the data f integrable with respect to the distance delta, to ensure the blow-up of the gradient of the very weak solution for the Dirichlet equation.