Sobolev regularity solutions for a class of singular quasilinear ODEs

This paper considers an initial-boundary value problem for a class of singular quasilinear second-order ordinary differential equations with the constraint condition stemming from fluid mechanics. We prove that the existence of positive Sobolev regular solutions for this kind of singular quasilinear...

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Auteurs principaux:	Zhao Xiaofeng, Li Hengyan, Yan Weiping
Format:	article
Langue:	EN
Publié:	De Gruyter 2021
Sujets:	sobolev regularity solution quasi-linear ode 35j25 35b65 Analysis QA299.6-433
Accès en ligne:	https://doaj.org/article/6b4d40c9014e453ebd8c4b9a45fd08f3
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id	oai:doaj.org-article:6b4d40c9014e453ebd8c4b9a45fd08f3
record_format	dspace
spelling	oai:doaj.org-article:6b4d40c9014e453ebd8c4b9a45fd08f32021-12-05T14:10:40ZSobolev regularity solutions for a class of singular quasilinear ODEs2191-94962191-950X10.1515/anona-2021-0212https://doaj.org/article/6b4d40c9014e453ebd8c4b9a45fd08f32021-11-01T00:00:00Zhttps://doi.org/10.1515/anona-2021-0212https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XThis paper considers an initial-boundary value problem for a class of singular quasilinear second-order ordinary differential equations with the constraint condition stemming from fluid mechanics. We prove that the existence of positive Sobolev regular solutions for this kind of singular quasilinear ODEs by means of a suitable Nash-Moser iteration scheme Meanwhile, asymptotic expansion of those positive solutions is shown.Zhao XiaofengLi HengyanYan WeipingDe Gruyterarticlesobolev regularity solutionquasi-linear ode35j2535b65AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 620-635 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	sobolev regularity solution quasi-linear ode 35j25 35b65 Analysis QA299.6-433
spellingShingle	sobolev regularity solution quasi-linear ode 35j25 35b65 Analysis QA299.6-433 Zhao Xiaofeng Li Hengyan Yan Weiping Sobolev regularity solutions for a class of singular quasilinear ODEs
description	This paper considers an initial-boundary value problem for a class of singular quasilinear second-order ordinary differential equations with the constraint condition stemming from fluid mechanics. We prove that the existence of positive Sobolev regular solutions for this kind of singular quasilinear ODEs by means of a suitable Nash-Moser iteration scheme Meanwhile, asymptotic expansion of those positive solutions is shown.
format	article
author	Zhao Xiaofeng Li Hengyan Yan Weiping
author_facet	Zhao Xiaofeng Li Hengyan Yan Weiping
author_sort	Zhao Xiaofeng
title	Sobolev regularity solutions for a class of singular quasilinear ODEs
title_short	Sobolev regularity solutions for a class of singular quasilinear ODEs
title_full	Sobolev regularity solutions for a class of singular quasilinear ODEs
title_fullStr	Sobolev regularity solutions for a class of singular quasilinear ODEs
title_full_unstemmed	Sobolev regularity solutions for a class of singular quasilinear ODEs
title_sort	sobolev regularity solutions for a class of singular quasilinear odes
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/6b4d40c9014e453ebd8c4b9a45fd08f3
work_keys_str_mv	AT zhaoxiaofeng sobolevregularitysolutionsforaclassofsingularquasilinearodes AT lihengyan sobolevregularitysolutionsforaclassofsingularquasilinearodes AT yanweiping sobolevregularitysolutionsforaclassofsingularquasilinearodes
_version_	1718371844273209344

Sobolev regularity solutions for a class of singular quasilinear ODEs

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