Giacomoni, JacquesGouasmia, AbdelhamidMokrane, Abdelhafid2021-08-192021-08-192021-02-23Giacomoni, J., Gouasmia, A., & Mokrane, A. (2021). Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-Laplacian equation. <i>Electronic Journal of Differential Equations, 2021</i>(09), pp. 1-37.1072-6691https://hdl.handle.net/10877/14406In 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 time-discretization 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.Text37 pages1 file (.pdf)enAttribution 4.0 InternationalFractional p-Laplace equationDoubly nonlinear evolution equationPicone identityStabilizationNonlinear semi-group theoryArticle