On differentiability of the extremals of variational integrals
Giaquinta, Mariano
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Giaquinta, Mariano
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Nečas, J.
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Ouassarah, A.Ait, Hajjaj, A. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Francesco Leonetti, Pier Vincenzo Petricca (2010)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we prove an estimate for the measure of superlevel sets of weak solutions to quasilinear elliptic systems in divergence form. In some special cases, such an estimate allows us to improve on the integrability of the solution.