D. Castorina

activity

20122024

most citedGround States for Diffusion Dominated Free Energies with Logarithmic Interaction

55 citations · 104 across the 14 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AP2014★ 10 cited

Self gravitating cosmic strings and the Alexandrov's inequality for Liouville-type equations

Daniele Bartolucci, Daniele Castorina

Motivated by the study of self gravitating cosmic strings, we pursue the well known method by C. Bandle to obtain a weak version of the classical Alexandrov's isoperimetric inequal…

math.AP2014★ 3 cited

Regularity of the extremal solution for singular p-Laplace equations

Daniele Castorina

We study the regularity of the extremal solution $u^{*}$ to the singular reaction-diffusion problem $- Δ_{p} u = λ f (u)$ in $Ω$ , $u = 0$ on $\partial Ω$ , where $1 < p < 2$ , $0 < λ < λ^{*}$ , $Ω\s…

math.AP2014★ 55 cited

Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction

José Antonio Carrillo, Daniele Castorina, Bruno Volzone

Replacing linear diffusion by a degenerate diffusion of porous medium type is known to regularize the classical two-dimensional parabolic-elliptic Keller-Segel model. The implicati…