Regularity for solutions of biharmonic equation on lipschitz domain
Jin-Keun Seo · Bulletin of the Korean Mathematical Society · 1996
Let $\Omega$ be a Lipschitz domain in $R^n$. In this paper, we study the behavior near the boundary point of solutions $u \in W_0^{2,2}(\Omega)$, the closure of the space $C_0^\infty(\Omega)$ in the norm $\left abla abla u \right\_L^2_(\Omega)$, to the equation $$ (1.1) \Delta\Delta u = f, f \in C^\infty (\bar{\Omega}). $$