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physics.soc-ph2017★ 67 cited
Cascading Failures in Interdependent Networks with Multiple Supply-Demand Links and Functionality Thresholds
M. A. Di Muro, L. D. Valdez, H. H. A. Rêgo +3
Various social, financial, biological and technological systems can be modeled by interdependent networks. It has been assumed that in order to remain functional, nodes in one netw…
math.AP2017★ 1 cited
Maximum principles for the fractional p-Laplacian and symmetry of solutions
Wenxiong Chen, Congming Li
In this paper, we consider nonlinear equations involving the fractional p-Laplacian $$ (-\lap)_p^s u(x)) \equiv C_{n,s,p} PV \int_{\mathbb{R}^n} \frac{|u(x)-u(y)|^{p-2}[u(x)-u(y)]}…