Mass-subcritical Half-Wave Equation with mixed nonlinearities: existence and non-existence of ground states
Analysis of PDEs
2025-04-11 v1 Mathematical Physics
math.MP
Abstract
We consider the problem of existence of constrained minimizers for the focusing mass-subcritical Half-Wave equation with a defocusing mass-subcritical perturbation. We show the existence of a critical mass such that minimizers do exist for any mass larger than or equal to the critical one, and do not exist below it. At the dynamical level, in the one dimensional case, we show that the ground states are orbitally stable.
Keywords
Cite
@article{arxiv.2504.07488,
title = {Mass-subcritical Half-Wave Equation with mixed nonlinearities: existence and non-existence of ground states},
author = {Jacopo Bellazzini and Luigi Forcella},
journal= {arXiv preprint arXiv:2504.07488},
year = {2025}
}