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A multiplicity result for a semilinear Maxwell type equation

Analysis of PDEs 2007-05-23 v2

Abstract

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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Cite

@article{arxiv.math/0611702,
  title  = {A multiplicity result for a semilinear Maxwell type equation},
  author = {Antonio Azzollini},
  journal= {arXiv preprint arXiv:math/0611702},
  year   = {2007}
}

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32 pages