Sobolev regularity solutions for a class of singular quasilinear ODEs-Reference-Cited by-同舟云学术

Sobolev regularity solutions for a class of singular quasilinear ODEs

Published:2021-11-01 Issue:1 Volume:11 Page:620-635
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Zhao Xiaofeng¹,Li Hengyan¹,Yan Weiping²

Affiliation:

1. School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power , Zhengzhou , P.R. China

2. College of Mathematics and Information Science, Guangxi University , Guangxi , P.R. China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2021-0212/pdf

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