78 citations · 172 across the 51 of their papers we have counts for
6 papers · 1 filter
Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
Dario D. Monticelli, Fabio Punzo, Berardino Sciunzi
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable…
The moving plane method for singular semilinear elliptic problems
Annamaria Canino, Luigi Montoro, Berardino Sciunzi
We consider positive solutions to semilinear elliptic problems with singular nonlinearities, under zero Dirichlet boundary condition. We exploit a refined version of the moving pla…
Nonlocal problems with singular nonlinearity
Annamaria Canino, Luigi Montoro, Berardino Sciunzi +1
We investigate existence and uniqueness of solutions for a class of nonlinear nonlocal problems involving the fractional -Laplacian operator and singular nonlinearities.
Pointwise estimates for solutions of semilinear parabolic inequalities with a potential
Luigi Montoro, Fabio Punzo, Berardino Sciunzi
We obtain pointwise estimates for solutions of semilinear parabolic equations with a potential on connected domains both of and of general Riemannian manifolds.
On the Harnack inequality for quasilinear elliptic equations with a first order term
Susana Merchán, Luigi Montoro, Bernardino Sciunzi
We consider weak solutions to with , . We exploit the Moser iteration technique to prove a Harnack comparison inequa…
A regularity result for the p-laplacian near uniform ellipticity
Carlo Mercuri, Giuseppe Riey, Berardino Sciunzi
We consider weak solutions to a class of Dirichlet boundary value problems invloving the -Laplace operator, and prove that the second weak derivatives are in with as…