Nonlinear Schrödinger Type Equations with Asymptotically Linear Terms
We study the nonlinear Schrödinger type equation - Δu + (λg(x) + l)u = f(u) on the whole space R^N. The nonlinearity f is assumed to be asymptotically linear and g(x) ≥ 0 has a potential well. We do not assume a limit for g(x) as lxl →∞ . Using variational techniques, we prove the existence of a pos...
| Main Author: | |
|---|---|
| Format: | Others |
| Published: |
DigitalCommons@USU
2002
|
| Subjects: | |
| Online Access: | https://digitalcommons.usu.edu/etd/7089 https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=8161&context=etd |