Abstract

In this article, we study a class of doubly nonlinear parabolic problems involving the fractional p-Laplace operator. For this problem, we discuss existence, uniqueness and regularity of the weak solutions by using the timediscretization method and monotone arguments. For global weak solutions, we also prove stabilization results by using the accretivity of a suitable associated operator. This property is strongly linked to the Picone identity that provides further a weak comparison principle, barrier estimates and uniqueness of the stationary positive weak solution.

Information

Item Type:	Journal
Divisions:
ePrint ID:	5245
Date Deposited:	2024-12-17
Further Information:	Google Scholar
URI:	https://www.univ-soukahras.dz/en/publication/article/5245

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