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arXiv · 1408.6749

Regularity results for weak solutions of elliptic PDEs below the natural exponent

David Cruz-Uribe·Kabe Moen·Scott Rodney
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Abstract

We prove regularity estimates for weak solutions to the Dirichlet problem for a divergence form elliptic operator. We give $L^p$ estimates for the second derivative for $p<2$. Our work generalizes results due to Miranda [28].

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David Cruz-Uribe, Kabe Moen, Scott Rodney. 2014-08-28. Regularity results for weak solutions of elliptic PDEs below the natural exponent. https://arxiv.org/abs/1408.6749

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