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Elliptic Problems in the Study of Selfdual Vortex Configurations

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 72)

The examples of selfdual problems discussed in the previous chapter all share a common equation (see (2.1.1) below), which can be viewed as a gauge-invariant version of the Cauchy–Riemann equation.

Following an approach introduced by Taubes (cf. [JT]), we see next how to use such a property in order to eliminate the gauge invariance from the selfdual equations and formulate them in terms of elliptic problems of the Liouville-type, whose analysis will be the main objective of our study.

Keywords

Elliptic Problem Liouville Equation Vortex Point Cartan Matrix Vortex Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2008

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