Multiplicity for a nonlinear elliptic fourth order equation in Maxwell-Chern-Simons vortex theory
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0302051,
title = {Multiplicity for a nonlinear elliptic fourth order equation in Maxwell-Chern-Simons vortex theory},
author = {Tonia Ricciardi},
journal= {arXiv preprint arXiv:math/0302051},
year = {2007}
}
Comments
20 pages