Displaying similar documents to “Quasilinear elliptic problems with nonmonotone discontinuities and measure data.”

Integrability for solutions to quasilinear elliptic systems

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.