Weighted a priori estimates for the solution of the homogeneous Dirichlet problem for the powers of the Laplacian Operator

Ricardo Duran, Marcela Sanmartino y Marisa Toschi

Let $u$ be a weak solution of $(-\Delta {)}^{m}u=f$ with Dirichlet boundary conditions in a smooth bounded domain $\Omega \subset {\mathbb{R}}^n$. Then, the main goal of this paper is to prove th…