Normalized solution to coupled nonhomogeneous nonlinear elliptic system with three wave interaction under unbounded potentials
Analysis of PDEs
2022-11-21 v1
Abstract
In this paper, we use the variational method to find the normalized solutions of the quadratic coupled three wave Schrodinger equation with asymmetric coercive potential. We prove the existence of solutions for the system with 2-norm constraints.
Keywords
Cite
@article{arxiv.2211.10110,
title = {Normalized solution to coupled nonhomogeneous nonlinear elliptic system with three wave interaction under unbounded potentials},
author = {Mingyang Han},
journal= {arXiv preprint arXiv:2211.10110},
year = {2022}
}