This note studies the existence of positive homoclinic orbits of the second order equation -u^n+a(x)u=β(x)u^q=γ(x)u^p,x∈R,where 1<q<p. Assume that the coeffi
Based on the methods introduced by Klainerman and Ponce.and Cohn.a lower bounded estimate of the existence time for a kind of semilinear Schroedinger equation i