activity
20082024
most citedSome non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation

33 citations · 57 across the 6 of their papers we have counts for

collaborators
Showing math.APShow all

6 papers · 1 filter

math.AP2024★ 1 cited

Periodic traveling waves for nonlinear Schrödinger equations with non-zero conditions at infinity in

Mihai Mariş, Anthony Mur

We consider the nonlinear Schrödinger equation with nonzero conditions at infinity in . We investigate the existence of traveling waves that are periodic in the direction tra…

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…

math.AP2012

Rarefaction pulses for the Nonlinear Schrodinger Equation in the transonic limit

David Chiron, Mihai Maris

We investigate the properties of finite energy travelling waves to the nonlinear Schrodinger equation with nonzero conditions at infinity for a wide class of nonlinearities. In spa…

math.AP2012★ 18 cited

Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity, II

David Chiron, Mihai Mariş

We prove the existence of nontrivial finite energy traveling waves for a large class of nonlinear Schrödinger equations with nonzero conditions at infinity (includindg the Gross-Pi…

math.AP2009

Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity

Mihai Mariş

For a large class of nonlinear Schrödinger equations with nonzero conditions at infinity and for any speed less than the sound velocity, we prove the existence of nontrivial fi…

math.AP2008★ 5 cited

Symmetry and monotonicity of least energy solutions

Jaeyoung Byeon, Louis Jeanjean, Mihai Mariş

We give a simple proof of the fact that for a large class of quasilinear elliptic equations and systems the solutions that minimize the corresponding energy in the set of all solut…