4 papers
Some obstacle problems for partially hinged plates and related optimization issues
Elvise Berchio, Filomena Feo, Antonio Giuseppe Grimaldi
We study optimization problems for partially hinged rectangular plates, modeling bridge roadways, in the presence of real and artificial obstacles. Real obstacles represent structu…
Asymptotic behaviour of solutions and free boundaries of the anisotropic slow diffusion equation
Filomena Feo, Juan Luis Vázquez, Bruno Volzone
In this paper we explore the theory of the anisotropic porous medium equation in the slow diffusion range. After revising the basic theory, we prove the existence of self-similar f…
Quantitative isoperimetric inequalities for log-convex probability measures on the line
F. Feo, M. R. Posteraro, C. Roberto
The purpose of this paper is to analyze the isoperimetric inequality for symmetric log-convex probability measures on the line. Using geometric arguments we first re-prove that ext…
Logarithmic Sobolev Trace Inequalities
F. Feo, M. R. Posteraro
We prove a logarithmic Sobolev trace inequality in a gaussian space and we study the trace operator in the weighted Sobolev space W^{1,p}(Ω,γ) for sufficiently regular domain. We e…