Multiple solutions of a stationary on homogeneous nonlinear Schrödinger equation

P. AMSTER, J. P. BORGNA, M. C. MARIANI, D. RIAL

REVISTA DE LA UNIóN MATEMáTICA ARGENTINA

Año: 2001 vol. 42 p. 43 - 50

0041-6932

In this work we study the multiplicity for solutions of stationary nonhomogeneus problem associated to the nonlinear one dimensional Shoedringer equation. We prove existence of a number ko perteneciente a N such that for every j>ko there exist at least to solutions of the Dirichlet problem with exactly j zeros in (a,b). Morover, if the forcing term f is constant, then for j=2n-1>ko these solutions are T-periodic with T=(b-a)/n