6 citations · 19 across the 55 of their papers we have counts for
5 papers · 1 filter
Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds
Paolo Mastrolia, Dario D. Monticelli, Fabio Punzo
We investigate existence and uniqueness of bounded solutions of parabolic equations with unbounded coefficients in , where is a complete noncompact Riemann…
On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds
Catherine Bandle, Paolo Mastrolia, Dario D. Monticelli +1
We investigate existence and nonexistence of stationary stable nonconstant solutions, i.e. patterns, of semilinear parabolic problems in bounded domains of Riemannian manifolds sat…
The porous medium equation with measure data on negatively curved Riemannian manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We investigate existence and uniqueness of weak solutions of the Cauchy problem for the porous medium equation on negatively curved Riemannian manifolds. We show existence of solut…
Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients
Fabio Punzo, Enrico Valdinoci
We investigate existence and uniqueness of solutions to a class of fractional parabolic equations satisfying prescribed pointwise conditions at infinity (in space), which can be ti…
Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
P. Mastrolia, D. D. Monticelli, F. Punzo
We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds.…