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Currently displaying 1 – 3 of 3

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Nonlinear Elliptic Systems with Measure Data in Low Dimension

Francesco Leonetti; Pier Vincenzo Petricca — 2011

Bollettino dell'Unione Matematica Italiana

In this paper we prove existence of solutions to some elliptic systems with measure on the right hand side, in dimension two and three.

Integrability for solutions to quasilinear elliptic systems

Francesco Leonetti; Pier Vincenzo Petricca — 2010

Commentationes Mathematicae Universitatis Carolinae

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.

Regularity for vector valued minimizers of some anisotropic integral functionals.

Leonetti, Francesco; Petricca, Pier Vincenzo — 2006

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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