arXiv:0910.3555 Abstract | arXiv Analytics

arXiv:0910.3555 [math.AP]Abstract References Reviews Resources

Ground states for a system of nonlinear Schrodinger equations with three waves interaction

Published 2009-10-19Version 1

We consider a system of nonlinear Schrodinger equations with three waves interaction studying the existence of ground state solutions. In particular, we find a vector ground state, namely a ground state with the three components all different from zero.

Comments: 22 pages

Categories: math.AP, math-ph, math.MP

Subjects: 35J50, 35J60, 35Q55

Keywords: nonlinear schrodinger equations, ground state solutions, vector ground state, components, waves interaction studying

Related articles: Most relevant | Search more

arXiv:math/0703677 [math.AP] (Published 2007-03-22)

Ground state solutions to the nonlinear Schrodinger-Maxwell equations

Antonio Azzollini, Alessio Pomponio

arXiv:0706.1679 [math.AP] (Published 2007-06-12)

Ground state solutions for the nonlinear Schrodinger-Maxwell equations with a singular potential

Antonio Azzollini, Alessio Pomponio

arXiv:1901.03187 [math.AP] (Published 2019-01-09)