Multiplicity for a nonlinear elliptic fourth order equation in Maxwell-Chern-Simons vortex theory
Ricciardi, Tonia
Original · EN
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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