Special Session 2: Recent advances in nonlinear Schrodinger systems

Normalized solutions for a class of gradient-type Schrodinger systems under Neumman boundary condition
Xiaojun Chang
Northeast Normal University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we focus on the existence of normalized solutions for a class of gradient-type Schrodinger systems within bounded domains, subject to Neumann boundary conditions. By utilizing a parameterized minimax principle that incorporates Morse index information for constrained functionals, along with a novel blow-up analysis of the gradient-type Schrodinger system under these Neumann boundary conditions, we establish the existence of mountain pass-type normalized solutions.