Existence and concentration of positive bound states for Schrodinger-Poisson systems with potential functions
In this article we study the existence and concentration behavior of bound states for a nonlinear Schrodinger-Poisson system with a parameter $\varepsilon>0$. Under suitable conditions on the potential functions, we prove that for $\varepsilon$ small the system has a positive solution th...
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Texas State University
2015-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/296/abstr.html |
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doaj-a1e23f63cd1f4837a925453182bcbab52020-11-25T00:44:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-11-012015296,115Existence and concentration of positive bound states for Schrodinger-Poisson systems with potential functionsPatricia L. Cunha0 Fundacao Getulio Vargas, Sao Paulo, Brazil In this article we study the existence and concentration behavior of bound states for a nonlinear Schrodinger-Poisson system with a parameter $\varepsilon>0$. Under suitable conditions on the potential functions, we prove that for $\varepsilon$ small the system has a positive solution that concentrates at a point which is a global minimum of the minimax function associated to the related autonomous problem.http://ejde.math.txstate.edu/Volumes/2015/296/abstr.htmlSchrodinger-Poisson systemvariational methodsconcentration |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Patricia L. Cunha |
| spellingShingle |
Patricia L. Cunha Existence and concentration of positive bound states for Schrodinger-Poisson systems with potential functions Electronic Journal of Differential Equations Schrodinger-Poisson system variational methods concentration |
| author_facet |
Patricia L. Cunha |
| author_sort |
Patricia L. Cunha |
| title |
Existence and concentration of positive bound states for Schrodinger-Poisson systems with potential functions |
| title_short |
Existence and concentration of positive bound states for Schrodinger-Poisson systems with potential functions |
| title_full |
Existence and concentration of positive bound states for Schrodinger-Poisson systems with potential functions |
| title_fullStr |
Existence and concentration of positive bound states for Schrodinger-Poisson systems with potential functions |
| title_full_unstemmed |
Existence and concentration of positive bound states for Schrodinger-Poisson systems with potential functions |
| title_sort |
existence and concentration of positive bound states for schrodinger-poisson systems with potential functions |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2015-11-01 |
| description |
In this article we study the existence and concentration behavior
of bound states for a nonlinear Schrodinger-Poisson system with
a parameter $\varepsilon>0$. Under suitable conditions on the
potential functions, we prove that for $\varepsilon$ small the
system has a positive solution that concentrates at a point which
is a global minimum of the minimax function associated to the
related autonomous problem. |
| topic |
Schrodinger-Poisson system variational methods concentration |
| url |
http://ejde.math.txstate.edu/Volumes/2015/296/abstr.html |
| work_keys_str_mv |
AT patricialcunha existenceandconcentrationofpositiveboundstatesforschrodingerpoissonsystemswithpotentialfunctions |
| _version_ |
1725275682751119360 |