Uniformly and nonuniformly elliptic variational equations with gauge invariance

Physics – Mathematical Physics

Scientific paper

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16 pages, tcilatex. Thorough revision

Scientific paper

A large class of variational equations for geometric objects is studied. The
results imply conformal monotonicity and Liouville theorems for steady,
polytropic, ideal flow, and the regularity of weak solutions to generalized
Yang-Mills and Born-Infeld systems.

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