Klein-Gordon-Maxwell equations in high dimensions

Pierre-Damien Thizy

doi:10.3934/cpaa.2015.14.1097

Article Contents

2015, Volume 14, Issue 3: 1097-1125. Doi: 10.3934/cpaa.2015.14.1097

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Klein-Gordon-Maxwell equations in high dimensions

Pierre-Damien Thizy^1,

1.
Université de Cergy-Pontoise, CNRS, Département de Mathématiques, F-95000 Cergy-Pontoise

Published: April 2015

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Abstract

We prove the existence of a mountain-pass solution and the a priori bound property for the electrostatic Klein-Gordon-Maxwell equations in high dimensions.

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Mathematics Subject Classification: Primary: 58J05; Secondary: 35J47, 35Q61, 35R01, 58J37, 81Q35.

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