Multiplicity for a nonlinear fourth order elliptic equation in Maxwell-Chern-Simons vortex theory
نویسنده
چکیده
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.
منابع مشابه
Asymptotics for some nonlinear elliptic systems in Maxwell-Chern-Simons vortex theory
We provide a unified proof of the asymptotics of the self-dual MaxwellChern-Simons vortices, as the Maxwell term is neglected, in both the U(1) and CP (1) case. This result is achieved by identifying and analyzing a suitable class of nonlinear elliptic systems with exponential type nonlinearities. key words: nonlinear elliptic system, Chern-Simons vortex theory MCS 2000 subject classification: ...
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