Existence and uniqueness result for a Navier problem involving Leray-Lions type operators in weighted Sobolev spaces

Abstract

The Navier problem involving the p-biharmonic and the Leray-Lions operators with weights is considered in this paper. Using the theory of weighted Sobolev spaces and the Browder-Minty theorem to show the existence and uniqueness of weak solution to this problem. Firstly, we transform our problem into an equivalent operator equation; secondly, we use the Browder-Minty theorem to prove the existence and uniqueness of a weak solution to the problem concerned.