Solutions on a torus for a semilinear equation
2011 ◽
Vol 141
(2)
◽
pp. 371-382
Keyword(s):
We are interested in the positive doubly periodic solutions, which are even in each variable, of a stationary nonlinear Schrödinger equation in ℝ2, with a small parameter. For any pair of periods (2a, 2b), we construct a branch of solutions that concentrate uniformly to the ground-state solution of the equation.
2013 ◽
Vol 67
(1)
◽
pp. 227-236
◽
2012 ◽
Vol 32
(6)
◽
pp. 2101-2123
◽
On instability for the quintic nonlinear Schrodinger equation of some approximate periodic solutions
2012 ◽
Vol 61
(6)
◽
pp. 2053-2083