A biharmonic elliptic problem with dependence on the gradient and the Laplacian

Abstract

We study the existence of solutions for nonlinear biharmonic equations that depend on the gradient and the Laplacian, under Navier boundary condition. Our main tools are an iterative scheme of the mountain pass "aproximated" solutions, and the truncation method developed by de Figueiredo, Girardi and Matzeu.

Keywords

• Biharmonic
• Navier boundary condition
• truncation techniques
• iteration method