Geodesic
Integrability for solutions to quasilinear elliptic systems
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 3, pp. 481-487

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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.
Classification : 35D10, 35J47, 35J62
Keywords: level set; integrability; solution; quasilinear; elliptic; system 
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     title = {Integrability for solutions to quasilinear elliptic systems},
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Leonetti, Francesco; Petricca, Pier Vincenzo. Integrability for solutions to quasilinear elliptic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 3, pp. 481-487. http://geodesic.mathdoc.fr/item/CMUC_2010__51_3_a9/