Sobolev regularity solutions for a class of singular quasilinear ODEs
Keyword(s):
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.
2008 ◽
Vol 05
(02)
◽
pp. 279-294
◽
1997 ◽
Vol 13
(1)
◽
pp. 33-44
◽
1989 ◽
Vol 113
(3-4)
◽
pp. 257-265
◽
2021 ◽
Vol 83
(2)
◽
pp. 151-159
2019 ◽
pp. 70-82