Concentration of solutions of equations of nonlinear Schrödinger type with vector potential: infinite-bump solutions and non-degeneracy

2016 ◽  
Vol 146 (3) ◽  
pp. 625-646
Author(s):  
Robert Magnus
Keyword(s):  
Vector Potential ◽  
Nonlinear Schrödinger ◽  
Concentration Of Solutions ◽  
Solutions Of Equations ◽  
Infinite Set ◽  
Vector Valued ◽  
Potential Infinite

The equation –ε2Δu+F(V(x),u) = 0 is studied over all of ℝn, and solutions are constructed that concentrate at an infinite set asε→ 0. The functionV(x) is vector valued. This advances previous studies in whichV(x) was scalar valued.

Self-similar solutions of equations of the nonlinear Schrödinger type

2000 ◽  
Vol 90 (3) ◽  
pp. 553-561 ◽  
Author(s):  
V. G. Marikhin ◽  
A. B. Shabat ◽  
M. Boiti ◽  
F. Pempinelli
Keyword(s):  
Nonlinear Schrödinger ◽  
Self Similar ◽  
Solutions Of Equations ◽  
Similar Solutions
Sign in / Sign up

Export Citation Format

Share Document