Keller–Osserman a priori estimates and the Harnack inequality for quasilinear elliptic and parabolic equations with absorption term

Shan, M.A.; Skrypnik, I.I.

dc.contributor.author	Shan, M.A.
dc.contributor.author	Skrypnik, I.I.
dc.date.accessioned	2020-11-19T10:11:03Z
dc.date.available	2020-11-19T10:11:03Z
dc.date.issued	2017
dc.identifier.uri	https://r.donnu.edu.ua/handle/123456789/1182
dc.description.abstract	In this article we study quasilinear equations model of which are Despite of the lack of comparison principle, we prove a priori estimates of Keller–Osserman type. Particularly under some natural assumptions on the function f, for nonnegative solutions of p-Laplace equation with absorption term we prove an estimate of the form with constant c independent of u, using this estimate we give a simple proof of the Harnack inequality. We prove a similar result for the evolution p-Laplace equation with absorption	en_US
dc.language.iso	en	en_US
dc.subject	Large solutions	en_US
dc.subject	A priori estimates	en_US
dc.subject	Quasilinear elliptic and parabolic equations	en_US
dc.subject	Harnack inequality	en_US
dc.title	Keller–Osserman a priori estimates and the Harnack inequality for quasilinear elliptic and parabolic equations with absorption term	en_US
dc.type	Book chapter	en_US