MULTIPLICITY FOR A NONLINEAR FOURTH-ORDER ELLIPTIC EQUATION IN MAXWELL-CHERN-SIMONS VORTEX THEORY

作者：Ricciardi Tonia^*

来源：Differential and Integral Equations, 2004, 17(3-4): 369-390.

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.

• 出版日期2004-4