Mathematical Research Letters

Volume 19 (2012)

Number 4

Resonant states for the static Klein–Gordon–Maxwell–Proca system

Pages: 953 – 967



Emmanuel Hebey (Département de Mathématiques, Université de Cergy-Pontoise, France)

Juncheng Wei (Department of Mathematics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong)


We prove the existence of resonant states for the critical static Klein–Gordon–Maxwell–Proca system in the case of closed manifolds. Standing waves solutions with arbitarilly large multi-spikes amplitudes and unstable phases are constructed.

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