Multiplicity for a nonlinear elliptic fourth order equation in Maxwell-Chern-Simons vortex theory
Ricciardi, Tonia
arXiv, 0302051 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-02-05
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35J60 
@article{0302051,
     author = {Ricciardi, Tonia},
     title = {Multiplicity for a nonlinear elliptic fourth order equation in
  Maxwell-Chern-Simons vortex theory},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0302051}
}

Ricciardi, Tonia. Multiplicity for a nonlinear elliptic fourth order equation in
  Maxwell-Chern-Simons vortex theory. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0302051/