4 papers
Blow-up analysis and extremal functions for nonlocal interaction functionals in dimension
A. Cannone, M. Yu
In this paper we study Moser-Trudinger type inequalities for some nonlocal energy functionals in presence of a logarithmic convolution potential, when the domain is a ball of $\mat…
Qualitative properties of single blow-up solutions for nonlinear Hartree equation with slightly subcritical exponent
Alessandro Cannone, Silvia Cingolani, Minbo Yang +1
In this paper, we study the qualitative properties of single blow-up solutions to the nonlocal equations with slightly subcritical exponents \begin{equation*} -Δu=(|x|^{-(n-2)}\ast…
Polyharmonic Nonlinear Scalar Field Equations
Alessandro Cannone, Silvia Cingolani, Jarosław Mederski
In this paper, we present a result on the existence of ground state solutions for the polyharmonic nonlinear equation , assuming that has a general subcritical g…
A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N
Alessandro Cannone, Silvia Cingolani
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…