Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents

Details Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents

2009-09-16

arxiv.org/abs/0909.2895v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

10.3934/cpaa.2011.10.709

In this paper we study the existence of radially symmetric solitary waves in
R^N for the nonlinear Klein-Gordon equations coupled with the Maxwell's
equations when the nonlinearity exhibits critical growth. The main feature of
this kind of problem is the lack of compactness arising in connection with the
use of variational methods.

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