We prove an existence theorem for the following quasilinear elliptic equation (1 - eu)Δu = |∇u|2eu - λ(1 - eu)2eu + 4πΣj=1Nδpj over the full plane subject to the boundary condition that u → 0 as |x| → ∞, where λ > 0 is a physical parameter and δ is the Dirac distribution concentrated at the point p. The solutions of the equation are vortex-like multi-solitons arising in a unified relativistic self-dual Chern-Simons theory.
|Original language||English (US)|
|Number of pages||13|
|Journal||Helvetica Physica Acta|
|State||Published - Oct 1998|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics