@misc{10481/73823,
year = {2022},
month = {2},
url = {http://hdl.handle.net/10481/73823},
abstract = {In this paper we consider traveling waves for the Gross-Pitaevskii equation which are
T-periodic in each variable. We prove that if T is large enough, there exists a solution as a global
minimizer of the corresponding action functional. In the subsonic case, we can use variational methods
to prove the existence of a mountain-pass solution. Moreover, we show that for small T the problem
admits only constant solutions.},
organization = {FEDER-MINECO Grant PGC2018-096422-B-I00},
organization = {Andalucia (FQM-116)},
organization = {Spanish Ministry of Science
and Innovation (MICINN), through the IMAG-Maria de Maeztu Excellence Grant
CEX2020-001105-M/AEI/10.13039/501100011033},
publisher = {AIMS Press},
keywords = {Gross-Pitaevskii equation},
keywords = {Mountain-pass solution},
title = {Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori},
doi = {10.3934/mine.2023011},
author = {Martínez Sánchez, Francisco Javier and Ruiz Aguilar, David},
}