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

Mustapha Ait Hammou, Azroul Elhoussine, Badr Lahmi

• We prove the existence of a solution for the strongly nonlinear parabolic initial boundary value problem associated to the equation ut − div a(x, t, ∇u) + g(x, t, u, ∇u) = f, where the vector field a(x, t, ξ) exhibits non-standard growth conditions.