Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems-Reference-Cited by-同舟云学术

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

Published:2021-11-29 Issue:1 Volume:11 Page:672-683
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Leonardi Salvatore¹,Leonetti Francesco²,Rocha Eugenio³,Staicu Vasile³

Affiliation:

1. Department of Mathematics and Informatics , University of Catania , Viale A. Doria 6, 95125 Catania , Italy

2. DISIM - Department of Information Engineering , Computer Science and Mathematics, University of L’Aquila , Via Vetoio snc - Coppito, 67100 , L’Aquila , Italy

3. Center for Research and Development in Mathematics and Applications, Department of Mathematics , University of Aveiro , 3810-193 , Aveiro , Portugal

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2021-0205/pdf

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