A note on a 3-dimensional stationary Schrodinger-Poisson system
In a previous paper we have proved existence of a ground state for a stationary Schr"odinger--Poisson system in the whole space $mathbb{R}^3$ under appropriate assumptions on the data, namely the dopant-density $n^*$ and the effective potential $widetilde V$. In this note we show that the same...
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| Format: | Article |
| Language: | English |
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Texas State University
2004-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/26/abstr.html |
| _version_ | 1818277332829339648 |
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| author | Khalid Benmlih |
| author_facet | Khalid Benmlih |
| author_sort | Khalid Benmlih |
| collection | DOAJ |
| description | In a previous paper we have proved existence of a ground state for a stationary Schr"odinger--Poisson system in the whole space $mathbb{R}^3$ under appropriate assumptions on the data, namely the dopant-density $n^*$ and the effective potential $widetilde V$. In this note we show that the same result remains true under less restrictive hypotheses. |
| first_indexed | 2024-12-12T22:59:52Z |
| format | Article |
| id | doaj.art-f3c23f25814f460fb68e03d40ee7964c |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T22:59:52Z |
| publishDate | 2004-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f3c23f25814f460fb68e03d40ee7964c2022-12-22T00:08:52ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-02-0120042615A note on a 3-dimensional stationary Schrodinger-Poisson systemKhalid BenmlihIn a previous paper we have proved existence of a ground state for a stationary Schr"odinger--Poisson system in the whole space $mathbb{R}^3$ under appropriate assumptions on the data, namely the dopant-density $n^*$ and the effective potential $widetilde V$. In this note we show that the same result remains true under less restrictive hypotheses.http://ejde.math.txstate.edu/Volumes/2004/26/abstr.htmlSchrodinger equationPoisson equationstanding wavevariational method. |
| spellingShingle | Khalid Benmlih A note on a 3-dimensional stationary Schrodinger-Poisson system Electronic Journal of Differential Equations Schrodinger equation Poisson equation standing wave variational method. |
| title | A note on a 3-dimensional stationary Schrodinger-Poisson system |
| title_full | A note on a 3-dimensional stationary Schrodinger-Poisson system |
| title_fullStr | A note on a 3-dimensional stationary Schrodinger-Poisson system |
| title_full_unstemmed | A note on a 3-dimensional stationary Schrodinger-Poisson system |
| title_short | A note on a 3-dimensional stationary Schrodinger-Poisson system |
| title_sort | note on a 3 dimensional stationary schrodinger poisson system |
| topic | Schrodinger equation Poisson equation standing wave variational method. |
| url | http://ejde.math.txstate.edu/Volumes/2004/26/abstr.html |
| work_keys_str_mv | AT khalidbenmlih anoteona3dimensionalstationaryschrodingerpoissonsystem AT khalidbenmlih noteona3dimensionalstationaryschrodingerpoissonsystem |