On the Evolutionary Fractional p-Laplacian

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The Dirichlet Problem for the fractional p-Laplacian evolution equation (2015, background): “f fractional Laplacian type, see the surveys [15, 56]. References to previous work on equation (1.1) and its stationary versions are [8, 16, 27, 39]. There is much current activity on this topic, see [26, 35, 38, 41, 45, 46]. We will consider the equation in a bounded domain Ω ⊂ RN with initial data”
The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion (2017, background): “ional p-Laplacian has recently attracted the attention of many researchers for its mathematical interest. See among other related works the papers by Caarelli et al. [66], Mazon et al. [189], Puhst [206]. Another approach in the form of nonlocal gradient dependent operators is taken by Bjorland-Caar”
Fractional p-Laplacian evolution equations (2016, methodology): “In [28] on can find results for the evolution problem with Neumann conditions for the case p ≥ 2 using Galerkin’s method.”