The Neumann problem for nonlocal nonlinear diffusion equations

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A nonlocal p-Laplacian evolution equation with Neumann boundary conditions (2008, methodology): “and variations of it, have been recently widely used to model diusion processes, see [ 7 ], [8], [10], [17], [18], [19], [21], [25], [26], [29], [31] and [34].”
On the principal eigenvalue of some nonlocal diffusion problems (2009, background): “while the \Neumann" boundary condition for the same problem is treated in [ 1 ], [16] and [17].”
Fractional diffusion with Neumann boundary conditions: the logistic equation (2012, unknown): “[15, 3, 7] and references therein).”
Decay estimates for nonlocal problems via energy methods (2009, background): “For recent references on nonlocal diffusion see [1]-[9], [11], [13]-[22], [26] and references therein.”
Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term (2009, methodology): “Non-local evolution equations of the form ut (x, t) = ∫ RN J (x−y)u(y, t) dy−u(x, t), and their variations, have been widely used to model diffusion processes, see [1–4,6–8,10–14,18].”