Mathematics – Analysis of PDEs
Scientific paper
2004-11-05
Mathematics
Analysis of PDEs
Scientific paper
We develop a new approach to the $L^p$ Dirichlet problem via $L^2$ estimates and reverse Holder inequalities. We apply this approach to second order elliptic systems and the polyharmonic equation on a bounded Lipschitz domain $\Omega$ in $R^n$. For $n\ge 4$ and $2-\epsilon
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