Alessandro Cannone
YOU?
Author Swipe
View article: Polyharmonic Nonlinear Scalar Field Equations
Polyharmonic Nonlinear Scalar Field Equations Open
In this paper, we present a result on the existence of ground state solutions for the polyharmonic nonlinear equation $(-Δ)^m u=g(u)$, assuming that $g$ has a general subcritical growth at infinity, inspired by Berestycki and Lions \cite{B…
View article: A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N
A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N Open
In the paper we investigate Trudinger-Moser type inequalities in presence of logarithmic kernels in dimension N. A sharp threshold, depending on N, is detected for the existence of estremal functions or blow-up, where the domain is the bal…