Sobolev regularity solutions for a class of singular quasilinear ODEs

Autor: Zhao Xiaofeng, Li Hengyan, Yan Weiping
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 620-635 (2021)
Druh dokumentu: article
ISSN: 2191-9496
2191-950X
DOI: 10.1515/anona-2021-0212
Popis: 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.
Databáze: Directory of Open Access Journals