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Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups
(American Mathematical Society, 2019)
In this paper we show novel underlying connections between fractional powers of the Laplacian on the unit sphere and functions from analytic number theory and differential geometry, like the Hurwitz zeta function and the ...
A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian
(2016)
We establish a Liouville type theorem for the fractional Lane-Emden system: {(-Delta)(alpha)u = v(q) in R-N, (-Delta)(alpha)v = u(p) in R-N, where alpha is an element of (0, 1), N > 2 alpha and p, q are positive real numbers ...