15 citations · 33 across the 19 of their papers we have counts for
22 papers
On the optimization of the Robin eigenvalues in some classes of polygons
Alessandro Carbotti, Simone Cito, Diego Pallara
Given the eigenvalue problem for the Laplacian with Robin boundary conditions, (with the Robin parameter), we consider shape minimization problems if a…
Stability of the Gaussian Faber-Krahn inequality
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We prove a quantitative version of the Gaussian Faber-Krahn type inequality proved by Betta, Chiacchio and Ferone for the first Dirichlet eigenvalue of the Ornstein-Uhlenbeck opera…
Mean value formulas for classical solutions to subelliptic evolution equations in stratified Lie groups
Diego Pallara, Sergio Polidoro
We prove mean value formulas for classical solutions to second order linear differential equations in the form w…
Local Regularity of very weak -harmonic functions via fractional difference quotients
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
The aim of this paper is to give a new proof that any very weak -harmonic function in the unit ball is smooth. As a first step, we improve the local summability properti…
Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups
Diego Pallara, Sergio Polidoro
We prove surface and volume mean value formulas for classical solutions to uniformly elliptic equations in divergence form with Hölder continuous coefficients. The kernels appearin…
Mean value formulas for classical solutions to uniformly parabolic equations in divergence form
Emanuele Malagoli, Diego Pallara, Sergio Polidoro
We prove surface and volume mean value formulas for classical solutions to uniformly parabolic equations in divergence form. We then use them to prove the parabolic strong maximum…