1 citations · 2 across the 8 of their papers we have counts for
9 papers
Existence and regularity for a -Laplacian problem in with singular, convective, critical reaction
Laura Baldelli, Umberto Guarnotta
We prove an existence result for a -Laplacian problem set in the whole Euclidean space and exhibiting a critical term perturbed by a singular, convective reaction. The approach…
A note on gradient estimates for p-Laplacian equations
Umberto Guarnotta, Salvatore A. Marano
The aim of this short paper is to show that some assumptions in [10] can be relaxed and even dropped when looking for weak solutions instead of strong ones. This improvement is a c…
Continuous spectrum for a double-phase unbalanced growth eigenvalue problem
Laura Gambera, Umberto Guarnotta, Nikolaos S. Papageorgiou
We consider an eigenvalue problem for a double-phase differential operator with unbalanced growth. Using the Nehari method, we show that the problem has a continuous spectrum deter…
The sub-supersolution method for variable exponent double phase systems with nonlinear boundary conditions
Umberto Guarnotta, Roberto Livrea, Patrick Winkert
In this paper we study quasilinear elliptic systems driven by variable exponent double phase operators involving fully coupled right-hand sides and nonlinear boundary conditions. T…
Multiple solutions to quasi-linear elliptic Robin systems
Umberto Guarnotta, Salvatore A. Marano, Abdelkrim Moussaoui
Two opposite constant-sign solutions to a non-variational p-Laplacian system with Robin boundary conditions are obtained via sub-super-solution techniques. A third nontrivial one c…
Some recent results on singular p-Laplacian equations
Umberto Guarnotta, Roberto Livrea, Salvatore Angelo Marano
A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with…