6 citations · 19 across the 55 of their papers we have counts for
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Four dimensional closed manifolds admit a weak harmonic Weyl metric
Giovanni Catino, Paolo Mastrolia, Dario D. Monticelli +1
On four-dimensional closed manifolds we introduce a class of canonical Riemannian metrics, that we call weak harmonic Weyl metrics, defined as critical points in the conformal clas…
Nonexistence for hyperbolic problems on Riemannian manifolds
Dario D. Monticelli, Fabio Punzo, Marco Squassina
We establish necessary conditions for the existence of solutions to a class of semilinear hyperbolic problems on complete noncompact Riemannian manifolds, extending some nonexisten…
Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We consider the porous medium equation with power-type reaction terms on negatively curved Riemannian manifolds, and solutions corresponding to bounded, nonnegative and compa…
The Poisson equation on manifolds with positive essential spectrum
Giovanni Catino, Dario Daniele Monticelli, Fabio Punzo
We show existence of solutions to the Poisson equation on Riemannian manifolds with positive essential spectrum, assuming a sharp pointwise decay on the source function. In particu…