Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model

Francesco Chiacchio; Tonia Ricciardi

arxiv: math/0310071 · v1 · submitted 2003-10-06 · 🧮 math.AP · math-ph· math.MP

Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model

Francesco Chiacchio , Tonia Ricciardi This is my paper

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keywords ellipticmaxwell-chern-simonsmodelself-dualsystemadmittinganalyzedoubly

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We prove the existence of at least two doubly periodic vortex solutions for a self-dual CP(1) Maxwell-Chern-Simons model. To this end we analyze a system of two elliptic equations with exponential nonlinearities. Such a system is shown to be equivalent to a fourth-order elliptic equation admitting a variational structure.

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Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model

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