New study of some partial dierential equations using fixed point theory

DOI: 10.5176/2251-1911_CMCGS16.32

Authors: Habib Yazidi and Fethi Soltani

Abstract: We study a system of bi-laplacian equations with a non-variational structure using fixed point theory. We prove some existence and non-existence results and we obtain some a priori estimates of solution.

Keywords: Biharmonic equation, non-variational system of PDE, a priori estimates, fixed point theory