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arxiv: 1408.6749 · v2 · pith:KOEXNSNEnew · submitted 2014-08-28 · 🧮 math.AP

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

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keywords ellipticestimatesregularityresultssolutionsweakbelowderivative
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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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