5 papers · 1 filter
On a particular scaling for the prototype anisotropic p-Laplacian
Simone Ciani, Umberto Guarnotta, Vincenzo Vespri
In this brief note we show that under a volume non-preserving scaling it is possible to recover the basics for a regularity theory regarding local weak solutions to a parabolic ful…
Existence of entire solutions for singular quasilinear convective elliptic systems
Umberto Guarnotta
The existence of entire solutions to quasilinear elliptic systems exhibiting both singular and convective reaction terms is discussed. An auxiliary problem, obtained by `freezing'…
Singular quasilinear convective elliptic systems in
Umberto Guarnotta, Salvatore A. Marano, Abdelkrim Moussaoui
The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed poi…
On a singular Robin problem with convection terms
Umberto Guarnotta, Salvatore A. Marano, Dumitru Motreanu
In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection…
Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction
U. Guarnotta, S. A. Marano, N. S. Papageorgiou
A Robin boundary-value problem with non-homogeneous differential operator, indefinite potential, and reaction defined only near zero is investigated. The existence of one or more n…