12 citations · 17 across the 25 of their papers we have counts for
7 papers · 1 filter
Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion
Simone Ciani, Umberto Guarnotta
We prove that ancient non-negative solutions to a fully anisotropic prototype evolution equation are constant if they satisfy a condition of finite speed of propagation and if they…
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…
Some recent results on singular p-laplacian systems
Umberto Guarnotta, Roberto Livrea, Salvatore A. Marano
Some recent existence, multiplicity, and uniqueness results for singular p-Laplacian systems either in bounded domains or in the whole space are presented, with a special attention…
Existence of two solutions for singular Φ-Laplacian problems
Pasquale Candito, Umberto Guarnotta, Roberto Livrea
Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ-Laplacian operator and the reaction term can be non-mon…
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…