A multiplicity result for a semilinear Maxwell type equation

Details A multiplicity result for a semilinear Maxwell type equation A multiplicity result for a semilinear Maxwell type equation

2006-11-22

arxiv.org/abs/math/0611702v2

Mathematics

Analysis of PDEs

32 pages

Scientific paper

In this paper we look for solutions of a semilinear Maxwell type equation, in
even dimension, greater than four. These solutions are critical points of a
functional which is strongly degenerate because of the presence of the exterior
derivative. We prove that, assuming a suitable convexity condition on the
nonlinearity, the equation possesses infinitely many finite energy solutions.

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