Existence and Stability of Standing Waves For Schrödinger-Poisson-Slater Equation
Abstract: We study the existence and stability of standing wave for the Schrödinger-Poisson-Slater equation in three dimensional space. Let p be the exponent of the nonlinear term. Then we first show that standing wave exists for 1 0. We also show that when 7/3 0. Furthermore, we investigate the case of p = 2. We prove these results by using variational methods.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Existence and Stability of Standing Waves For Schrödinger-Poisson-Slater Equation ; volume:7 ; number:3 ; year:2007 ; pages:403-437 ; extent:35
Advanced nonlinear studies ; 7, Heft 3 (2007), 403-437 (gesamt 35)
- Creator
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Kikuchi, Hiroaki
- DOI
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10.1515/ans-2007-0305
- URN
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urn:nbn:de:101:1-2405021643495.953610479179
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:56 AM CEST
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Associated
- Kikuchi, Hiroaki
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