The $L^p$ Dirichlet Problem for Elliptic Systems on Lipschitz Domains

Zhongwei Shen

doi:https://doi.org/10.48550/arxiv.math/0411120

The $L^p$ Dirichlet Problem for Elliptic Systems on Lipschitz Domains

Zhongwei Shen · arXiv (Cornell University) · 2004

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 $Ω$ in $R^n$. For $n\ge 4$ and $2-ε

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