Multiplicity for a nonlinear elliptic fourth order equation in Maxwell-Chern-Simons vortex theory

2003/02/05 by Tonia Ricciardi, Ricciardi, Tonia
Mathematics · Physics and Astronomy · #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:35J60

paper · pdf · doi:10.48550/arxiv.math/0302051

20 pages

arxiv created 2003/02/05 · arxiv updated 2009/11/30

Abstract

We prove the existence of at least two solutions for a fourth order equation, which includes the vortex equations for the U(1) and CP(1) self-dual Maxwell-Chern-Simons models as special cases. Our method is variational, and it relies on an "asymptotic maximum principle" property for a special class of supersolutions to this fourth order equation.

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