activity
20202022
most citedSome non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation

33 citations · 33 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2022

Blowing-up solutions for a nonlocal Liouville type equation

Matteo Cozzi, Antonio J. Fernández

We consider the nonlocal Liouville type equation $$ (-Δ)^{\frac{1}{2}} u = \varepsilon κ(x) e^u, \quad u > 0, \quad \mbox{in } I, \qquad u = 0, \quad \mbox{in } \mathbb{R} \setminu…

math.CO2021

Associahedra minimize -vectors of secondary polytopes of planar point sets

Antonio Fernández, Francisco Santos

Kupavskii, Volostnov, and Yarovikov have recently shown that any set of points in general position in the plane has at least as many (partial) triangulations as the convex -…

math.AP2020★ 33 cited

Some non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation

Antonio J. Fernández, Louis Jeanjean, Rainer Mandel +1

We study the standing waves for a fourth-order Schrödinger equation with mixed dispersion that minimize the associated energy when the norm (the \textit{mass}) } is kept fixe…