Existence of weak periodic solution for quasilinear parabolic problem with nonlinear boundary conditions

Abstract

In this work, we show the existence of weak periodic solutions of a
    quasilinear parabolic problem with arbitrary growth nonlinearity in gradient
    and nonlinear boundary conditions. The objective will be achieved by
    reformulating the problem in abstract form and applying some results and
    techniques of functional analysis such as the method of truncation associated with Schauder fixed point theorem.