Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients

This article is concerned with an obstacle problem for nonlinear subelliptic systems of second order with VMO coefficients. It is shown, based on a modification of A-harmonic approximation argument, that the gradient of weak solution to the corresponding obstacle problem belongs to the Morrey space...

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Detalles Bibliográficos
Autores principales: Du, Guangwei, Li, Fushan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5838259/
https://www.ncbi.nlm.nih.gov/pubmed/29527104
http://dx.doi.org/10.1186/s13660-018-1647-5
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author Du, Guangwei
Li, Fushan
author_facet Du, Guangwei
Li, Fushan
author_sort Du, Guangwei
collection PubMed
description This article is concerned with an obstacle problem for nonlinear subelliptic systems of second order with VMO coefficients. It is shown, based on a modification of A-harmonic approximation argument, that the gradient of weak solution to the corresponding obstacle problem belongs to the Morrey space [Formula: see text] .
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spelling pubmed-58382592018-03-09 Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients Du, Guangwei Li, Fushan J Inequal Appl Research This article is concerned with an obstacle problem for nonlinear subelliptic systems of second order with VMO coefficients. It is shown, based on a modification of A-harmonic approximation argument, that the gradient of weak solution to the corresponding obstacle problem belongs to the Morrey space [Formula: see text] . Springer International Publishing 2018-03-05 2018 /pmc/articles/PMC5838259/ /pubmed/29527104 http://dx.doi.org/10.1186/s13660-018-1647-5 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Du, Guangwei
Li, Fushan
Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients
title Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients
title_full Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients
title_fullStr Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients
title_full_unstemmed Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients
title_short Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients
title_sort interior regularity of obstacle problems for nonlinear subelliptic systems with vmo coefficients
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5838259/
https://www.ncbi.nlm.nih.gov/pubmed/29527104
http://dx.doi.org/10.1186/s13660-018-1647-5
work_keys_str_mv AT duguangwei interiorregularityofobstacleproblemsfornonlinearsubellipticsystemswithvmocoefficients
AT lifushan interiorregularityofobstacleproblemsfornonlinearsubellipticsystemswithvmocoefficients

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