27 citations · 117 across the 40 of their papers we have counts for
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math.AP2017
The obstacle problem for a fractional Monge--Ampère equation
Y. Jhaveri, P. R. Stinga
We study the obstacle problem for a nonlocal, degenerate elliptic Monge--Ampère equation. We show existence and regularity of a unique classical solution to the problem and regular…
math.AP2017
Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups
P. L. De Nápoli, P. R. Stinga
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…
math.AP2017
The fractional nonlocal Ornstein--Uhlenbeck equation, Gaussian symmetrization and regularity
F. Feo, P. R. Stinga, B. Volzone
For , we consider the Dirichlet problem for the fractional nonlocal Ornstein--Uhlenbeck equation $$\begin{cases} (-Δ+x\cdot\nabla)^su=f&\hbox{in}~Ω\\ u=0&\hbox{on}~\partialΩ…