3 papers
q-fin.ST2026
Asymmetric -Gaussian Distributions from Tsallis Maximum Entropy
Francesco Cesarone, Massimiliano Corradini, Nicolò Giunta +1
Within the framework of non-extensive statistical mechanics, -Gaussian distributions arise as maximum-entropy solutions of Tsallis entropy under suitable escort moment constrain…
math.AP2023
Nodal cluster solutions for the Brezis-Nirenberg problem in dimensions
Monica Musso, Serena Rocci, Giusi Vaira
We show that the classical Brezis-Nirenberg problem $$Δu + |u|^{4 \over N-2} u + \varepsilon u = 0 ,\quad {\mbox {in}} \quad Ω, \quad u= 0 , \quad {\mbox {on}} \quad \partial Ω$$ a…
math.AP2023
The Brezis-Nirenberg problem in 4D
Angela Pistoia, Serena Rocci
The problem \begin{equation} \label{bn} -Δu=|u|^{4\over n-2}u+λV u\ \hbox{in}\ Ω,\ u=0\ \hbox{on}\ \partialΩ \end{equation} where is a bounded regular domain in ,…