On multiple solutions of a semilinear Schrödinger equation with periodic potential

2013 ◽  
Vol 84 ◽  
pp. 39-49 ◽  
Author(s):  
Cyril Joel Batkam ◽  
Fabrice Colin
Keyword(s):  
Schrödinger Equation ◽  
Multiple Solutions ◽  
Schrodinger Equation ◽  
Periodic Potential ◽  
Semilinear Schrödinger Equation

One-Dimensional Schrödinger Equation with an Almost Periodic Potential

1983 ◽  
Vol 50 (23) ◽  
pp. 1873-1876 ◽  
Author(s):  
Stellan Ostlund ◽  
Rahul Pandit ◽  
David Rand ◽  
Hans Joachim Schellnhuber ◽  
Eric D. Siggia
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Periodic Potential ◽  
Almost Periodic ◽  
One Dimensional

On the semilinear Schrödinger equation with time dependent coefficients

2014 ◽  
Vol 287 (17-18) ◽  
pp. 1986-2001
Author(s):  
Takuya Gonda ◽  
Shuji Machihara ◽  
Tohru Ozawa
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Time Dependent ◽  
Semilinear Schrödinger Equation

Multiple Solutions for Perturbed Elliptic Equations in Unbounded Domains

2003 ◽  
Vol 3 (1) ◽  
pp. 1-23 ◽  
Author(s):  
A. Salvatore
Keyword(s):  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Perturbation Method ◽  
Elliptic Equations ◽  
Multiple Solutions ◽  
Schrodinger Equation ◽  
Dirichlet Boundary ◽  
Unbounded Domains ◽  
Dirichlet Boundary Conditions

AbstractWe look for solutions of a nonlinear perturbed Schrödinger equation with nonhomogeneous Dirichlet boundary conditions. By using a perturbation method introduced by Bolle, we prove the existence of multiple solutions in spite of the lack of the symmetry of the problem.

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