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A positive bound state for an asymptotically linear or superlinear Schrödinger equation

Ponente: Mónica Clapp
Institución: IM-UNAM
Tipo de Evento: Investigación

Cuándo 13/08/2015
de 11:00 a 12:00
Dónde Salón de seminarios 3
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We establish existence of a positive solution to the stationary nonlinear
Schrödinger equation
\[
-\Delta u+V(x)u=f(u),\qquad u\in{H}^{1}(\mathbb{R}^{N}),
\]
in situations where this problem does not have a ground state. We consider
general superlinear nonlinearities and asymptotically linear ones, as well.
This is joint work with Liliane Maia.