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Volume 23, Issue 4
On Existence of Ground States for Some Elliptic Systems

Gongming Wei

J. Part. Diff. Eq., 23 (2010), pp. 305-314.

Published online: 2010-11

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  • Abstract

In this paper we consider the existence of ground states for some 2- coupled nonlinear Schrödinger systems with or without potentials. Under various conditions on the parameters in the equations, we prove the existence of ground states.

  • AMS Subject Headings

35J50

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@Article{JPDE-23-305, author = {Gongming Wei }, title = {On Existence of Ground States for Some Elliptic Systems}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {4}, pages = {305--314}, abstract = {

In this paper we consider the existence of ground states for some 2- coupled nonlinear Schrödinger systems with or without potentials. Under various conditions on the parameters in the equations, we prove the existence of ground states.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n4.1}, url = {http://global-sci.org/intro/article_detail/jpde/5236.html} }
TY - JOUR T1 - On Existence of Ground States for Some Elliptic Systems AU - Gongming Wei JO - Journal of Partial Differential Equations VL - 4 SP - 305 EP - 314 PY - 2010 DA - 2010/11 SN - 23 DO - http://doi.org/10.4208/jpde.v23.n4.1 UR - https://global-sci.org/intro/article_detail/jpde/5236.html KW - Ground state KW - solutionmanifold KW - critical point theory KW - coupled nonlinear Schrödinger system AB -

In this paper we consider the existence of ground states for some 2- coupled nonlinear Schrödinger systems with or without potentials. Under various conditions on the parameters in the equations, we prove the existence of ground states.

Gongming Wei . (2010). On Existence of Ground States for Some Elliptic Systems. Journal of Partial Differential Equations. 23 (4). 305-314. doi:10.4208/jpde.v23.n4.1
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