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EXISTENCE AND CONCENTRATION OF POSITIVE BOUND STATES FOR SCHR¨ODINGERSCHR¨ SCHR¨ODINGER-POISSON SYSTEMS WITH POTENTIAL FUNCTIONS

Patr´icia Patr´, Patr´icia Cunha
2015 Electronic Journal of Differential Equations   unpublished

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In this article we study the existence and concentration behavior of bound states for a nonlinear Schrödinger-Poisson system with a parameter ε > 0. Under suitable conditions on the potential functions, we prove that for ε 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.
fatcat:igikwlemifbp3bpxwh767c22bi
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Patr´icia Patr´, Patr´icia Cunha. "EXISTENCE AND CONCENTRATION OF POSITIVE BOUND STATES FOR SCHR¨ODINGERSCHR¨ SCHR¨ODINGER-POISSON SYSTEMS WITH POTENTIAL FUNCTIONS." Electronic Journal of Differential Equations 2015.296 (2015)