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

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

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 solutio...

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Bibliographic Details
Main Authors: Leonardi Salvatore, Leonetti Francesco, Rocha Eugenio, Staicu Vasile
Format: Article
Language:English
Published: De Gruyter 2021-11-01
Series:Advances in Nonlinear Analysis
Subjects:
quasilinear
elliptic
system
weak
solution
regularity
primary: 35j47
secondary: 35b65
49n60
Online Access:https://doi.org/10.1515/anona-2021-0205
Description
Summary: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.
ISSN:2191-9496
2191-950X

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