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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Autores principales:	Leonardi Salvatore, Leonetti Francesco, Rocha Eugenio, Staicu Vasile
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	quasilinear elliptic system weak solution regularity primary: 35j47 secondary: 35b65 49n60 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/9337ef6d8c9549ecb292083ac007b37f
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spelling	oai:doaj.org-article:9337ef6d8c9549ecb292083ac007b37f2021-12-05T14:10:40ZButterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems2191-94962191-950X10.1515/anona-2021-0205https://doaj.org/article/9337ef6d8c9549ecb292083ac007b37f2021-11-01T00:00:00Zhttps://doi.org/10.1515/anona-2021-0205https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XWe 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.Leonardi SalvatoreLeonetti FrancescoRocha EugenioStaicu VasileDe Gruyterarticlequasilinearellipticsystemweaksolutionregularityprimary: 35j47secondary: 35b6549n60AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 672-683 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	quasilinear elliptic system weak solution regularity primary: 35j47 secondary: 35b65 49n60 Analysis QA299.6-433
spellingShingle	quasilinear elliptic system weak solution regularity primary: 35j47 secondary: 35b65 49n60 Analysis QA299.6-433 Leonardi Salvatore Leonetti Francesco Rocha Eugenio Staicu Vasile Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems
description	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.
format	article
author	Leonardi Salvatore Leonetti Francesco Rocha Eugenio Staicu Vasile
author_facet	Leonardi Salvatore Leonetti Francesco Rocha Eugenio Staicu Vasile
author_sort	Leonardi Salvatore
title	Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems
title_short	Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems
title_full	Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems
title_fullStr	Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems
title_full_unstemmed	Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems
title_sort	butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/9337ef6d8c9549ecb292083ac007b37f
work_keys_str_mv	AT leonardisalvatore butterflysupportforoffdiagonalcoefficientsandboundednessofsolutionstoquasilinearellipticsystems AT leonettifrancesco butterflysupportforoffdiagonalcoefficientsandboundednessofsolutionstoquasilinearellipticsystems AT rochaeugenio butterflysupportforoffdiagonalcoefficientsandboundednessofsolutionstoquasilinearellipticsystems AT staicuvasile butterflysupportforoffdiagonalcoefficientsandboundednessofsolutionstoquasilinearellipticsystems
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Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems

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