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 that off-diagonal coefficients have a "butterfly support": this allows us to prove local boundedness of weak solutions.

Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems

Leonetti F.;
2021-01-01

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 that off-diagonal coefficients have a "butterfly support": this allows us to prove local boundedness of weak solutions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/174513
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