187 citations · 856 across the 36 of their papers we have counts for
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The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case
Gabriele Grillo, Matteo Muratori, Juan Luis Vázquez
We study the long-time behaviour of nonnegative solutions of the Porous Medium Equation posed on Cartan-Hadamard manifolds having very large negative curvature, more precisely when…
Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations
Matteo Bonforte, Alessio Figalli, Juan Luis Vazquez
We investigate quantitative properties of nonnegative solutions to the semilinear diffusion equation , posed in a bounded domain $Ω\subset {\mathbb…
Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds
Panagiota Daskalopoulos, Yannick Sire, Juan-Luis Vázquez
As a counterpart of the classical Yamabe problem, a fractional Yamabe flow has been introduced by Jin and Xiong (2014) on the sphere. Here we pursue its study in the context of gen…