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Advanced Nonlinear Studies

Editor-in-Chief: Ahmad, Shair


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Volume 4, Issue 3

Issues

Non-Existence Results for the Coupled Klein-Gordon-Maxwell Equations

Teresa D’Aprile / Dimitri Mugnai
Published Online: 2016-03-10 | DOI: https://doi.org/10.1515/ans-2004-0305

Abstract

In this paper we obtain some non-existence results for the Klein-Gordon equation coupled with the electrostatic field. The method relies on the deduction of some suitable Pohožaev identity which provides necessary conditions to get existence of nontrivial solutions. The case of Maxwell-Schrödinger type coupled equations is also considered.

Keywords: Klein-Gordon-Maxwell system; Schrödinger-Maxwell system; non-existence; bound states

About the article

Received: 2004-07-16

Published Online: 2016-03-10

Published in Print: 2004-08-01


Citation Information: Advanced Nonlinear Studies, Volume 4, Issue 3, Pages 307–322, ISSN (Online) 2169-0375, ISSN (Print) 1536-1365, DOI: https://doi.org/10.1515/ans-2004-0305.

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