Multiple positive normalized solutions for nonlinear Schrödinger systems

• Published in: Nonlinearity Vol. 31; no. 5; pp. 2319 - 2345
• Main Authors: Gou, Tianxiang, Jeanjean, Louis
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.05.2018
• Subjects: Analysis of PDEs; Mathematics; nonlinear Schrödinger systems; normalized solutions; solitary waves; variational methods

We consider the existence of multiple positive solutions to the nonlinear Schrödinger systems set on , under the constraint Here are prescribed, , and the frequencies are unknown and will appear as Lagrange multipliers. Two cases are studied, the first when , the second when In both cases, assuming...