25 citations · 48 across the 36 of their papers we have counts for
4 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…
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.…
Classification of expanding and steady Ricci solitons with integral curvature decay
Giovanni Catino, Paolo Mastrolia, Dario Daniele Monticelli
In this paper we prove new classification results for nonnegatively curved gradient expanding and steady Ricci solitons in dimension three and above, under suitable integral assump…