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A spherical Harnack inequality for singular solutions of nonlinear elliptic equations

Chiun-Chuan Chen; Chang-Shou Lin — 2001

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Concentration phenomena of two-vortex solutions in a Chern-Simons model

Chiun-Chuan Chen; Chang-Shou Lin; Guofang Wang — 2004

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

By considering an abelian Chern-Simons model, we are led to study the existence of solutions of the Liouville equation with singularities on a flat torus. A non-existence and degree counting for solutions are obtained. The former result has an application in the Chern-Simons model.

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