Research Communication | Open Access
Volume 2020 | Communication ID 46 |

An existence result for a strongly nonlinear parabolic equations with variable nonlinearity

Mustapha Ait Hammou, Elhoussine Azroul, Badr Lahmi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
20 December 2019
04 January 2020
10 March 2020

Abstract: We prove the existence of a solution for a strongly nonlinear parabolic initial boundary value problem associated to an equation with the Leray-Lions type operator and where the perturbation has a critical growth with respect to grad(u) and a sign condition.