Gradient $L^q$ theory for a class of nondiagonal elliptic systems

Martin Kalousek; Miroslav Bul\'i\v{c}ek; Petr Kaplick\'y; V\'aclav M\'acha

arxiv: 1603.04600 · v2 · pith:PLB3ORYUnew · submitted 2016-03-15 · 🧮 math.AP

Gradient L^q theory for a class of nondiagonal elliptic systems

Miroslav Bul\'i\v{c}ek , Martin Kalousek , Petr Kaplick\'y , V\'aclav M\'acha This is my paper

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keywords systemsclassellipticnondiagonaltheorycontinuitygradientgrowth

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We show that the new result on H\"older continuity of solutions to a class of nondiagonal elliptic systems with $p$-growth in [2] can be used to improve the $L^q$ theory for such systems.

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Gradient L^q theory for a class of nondiagonal elliptic systems

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