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Bound states for semilinear Schrödinger equations with sign-changing potential
Stockholm University, Faculty of Science, Department of Mathematics. matematik.
2007 (English)In: Calculus of variations, Vol. 29, 397-419 p.Article in journal (Refereed) Published
##### Abstract [en]

We study the existence and the number of decaying solutions for the semilinear Schr\"odinger equations $-\eps^2\Delta u + V(x)u = g(x,u)$, $\eps>0$ small, and $-\Delta u + \la V(x)u = g(x,u)$, $\la>0$ large. The potential $V$ may change sign and $g$ is either asymptotically linear or superlinear (but subcritical) in $u$ as $|u|\to\infty$.

##### Place, publisher, year, edition, pages
2007. Vol. 29, 397-419 p.
##### National Category
Mathematical Analysis
##### Identifiers
ISI: 000246113100005OAI: oai:DiVA.org:su-20655DiVA: diva2:187181
Available from: 2007-11-28 Created: 2007-11-28 Last updated: 2011-01-11Bibliographically approved

#### Open Access in DiVA

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##### By organisation
Department of Mathematics
##### On the subject
Mathematical Analysis