1,721,045 research outputs found
Sign-changing solutions for an asymptotically linear Schrodinger equation
No full textWe study an asymptotically linear Schr ̈odinger equation in the whole Euclidean space RN. By using a suitable linking theorem we prove that the problem admits not only the trivial solution but also either a sign–changing solution or one positive and one negative solution
Multiple solitary waves for non-homogeneous Schrödinger-Maxwell systems in R^3
No full textWe look for standing waves of nonlinear Schr ̈odinger equation
i~@Ã
@t
+ ~2
2m
¢Ã + jÃjp¡2 à = g(x) ei!t
coupled with Maxwell’s equations. We use the variational formulation introduced by Benci
and Fortunato in 1992 for studying an eigenvalue problem for the Schr ̈odinger-Maxwell
system in bounded domains. We establish the existence of multiple standing waves both
in the homogeneous and the non-homogeneous cases by means of the fibering method
introduced by Pohozaev
- …
