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Radial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials

TitleRadial solutions concentrating on spheres of nonlinear Schrödinger equations with vanishing potentials
Publication TypeJournal Article
Year of Publication2006
AuthorsAmbrosetti, A, Ruiz, D
JournalProc. Roy. Soc. Edinburgh Sect. A 136 (2006) 889-907
Abstract

We prove the existence of radial solutions of 1.2) concentrating at a sphere for potentials which might be zero and might decay to zero at\\r\\ninfinity. The proofs use a perturbation technique in a variational setting, through a Lyapunov-Schmidt reduction.

URLhttp://hdl.handle.net/1963/1755
DOI10.1017/S0308210500004789
Alternate JournalRadial solutions concentrating on spheres of NLS with vanishing potentials

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