Existence and uniqueness of weak periodic solutions for a coupled parabolic-elliptic system

Description

Based on the maximal monotone mapping theory and applying the Schauder fixed point theorem, we prove the existence and the uniqueness of weak periodic solution for nonlinear parabolic-elliptic equations in Orlicz-Sobolev spaces, with growth nonlinearity in gradient associated with some appropriate N-functions.

 

 

Additional information

Author(s)

Ahakkoud, Yassine, Bennouna, Jaouad, Elmassoudi, Mhamed

DOI

https://doi.org/10.37193/CJM.2023.03.06