7 citations · 8 across the 3 of their papers we have counts for
5 papers
Remarks on Local Boundedness and Local Hölder Continuity of Local Weak Solutions to Anisotropic -Laplacian Type Equations
Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri
Locally bounded, local weak solutions to a special class of quasilinear, anisotropic, -Laplacian type elliptic equations, are shown to be locally Hölder continuous. Homogeneous…
Some Properties of DeGiorgi Classes
Emmanuele DiBenedetto, Ugo Gianazza
The DeGiorgi classes , defined in (1.1) below encompass, solutions of quasilinear elliptic equations with measurable coefficients as well as minima and Q-min…
A Wiener-Type Condition for Boundary Continuity of Quasi-Minima of Variational Integrals
Emmanuele DiBenedetto, Ugo Gianazza
A Wiener-type condition for the continuity at the boundary points of Q-minima, is established, in terms of the divergence of a suitable Wiener integral.
Two Remarks on the Local Behavior of Solutions to Logarithmically Singular Diffusion Equations and its Porous-Medium Type Approximations
Emmanuele DiBenedetto, Ugo Gianazza, Naian Liao
For the logarithmically singular parabolic equation \[ u_t-Δ\ln u=0\qquad\text{weakly in}\ \ E\times(0,T], \] we establish a Harnack type estimate in the topology, and…
Identification of the key parameters in a mathematical model of PAR1-mediated signaling in endothelial cells
Leonardo Lenoci, Heidi E. Hamm, Emmanuele DiBenedetto
Biophysical models are often populated by a large number of input parameters that are difficult to predict or measure experimentally. The validity and robustness of a given model c…