12 citations · 17 across the 25 of their papers we have counts for
26 papers
The obstacle problem for singular quasi-linear elliptic equations
Annamaria Barbagallo, Umberto Guarnotta
Existence of solutions to an obstacle -Laplacian problem exhibiting a singular, discontinuous reaction is proved. The reaction term may be discontinuous in a Lebesgue-negligible…
On singular -Laplacian problems with discontinuous convection terms
Umberto Guarnotta, Salvatore A. Marano
The existence of positive strong solutions to a homogeneous Dirichlet -Laplacian problem, with reaction sum of a both singular at zero and highly discontinuous nonlinearity and…
Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients
Umberto Guarnotta, Cristina Marcelli
Sufficient conditions for either existence or non-existence of traveling wave solutions for a general quasi-linear reaction-diffusion-convection equation, possibly highly degenerat…
Decay estimates for solutions to non-autonomous critical p-Laplace problems
Laura Baldelli, Umberto Guarnotta
We prove optimal decay estimates for positive solutions to elliptic p-Laplacian problems in the entire Euclidean space, when a critical nonlinearity with a decaying source term is…
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator
Nirjan Biswas, Laura Gambera, Umberto Guarnotta
The paper investigates a pivotal condition for the Bobkov-Tanaka type spectrum for double-phase operators. This condition is satisfied if either the weight driving the double-p…
Degenerate singular Kirchhoff problems in Musielak-Orlicz spaces
Umberto Guarnotta, Patrick Winkert
In this paper we study quasilinear elliptic Kirchhoff equations driven by a non-homogeneous operator with unbalanced growth and right-hand sides that consist of sub-linear, possibl…