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arXiv · 1911.05987

Local boundedness for weak solutions to some quasilinear elliptic systems

Salvatore Leonardi·Francesco Leonetti·Cristina Pignotti·Eugenio Rocha·Vasile Staicu
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Abstract

We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi's counterexample. Here we assume a condition on the support of off-diagonal coefficients that "keeps away" the counterexample and allows us to prove local boundedness of weak solutions.

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Salvatore Leonardi, Francesco Leonetti, Cristina Pignotti, Eugenio Rocha, Vasile Staicu. 2019-11-14. Local boundedness for weak solutions to some quasilinear elliptic systems. https://arxiv.org/abs/1911.05987

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