Volume 16, Issue 2
Harmonic Maps and Critical Points of Penalized Energy

Chunqin Zhou and Deliang Xu

J. Part. Diff. Eq., 16 (2003), pp. 111-126.

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  • Abstract

We discuss a sequence solutions u_ε for the E-L equations of the penalized energy defined by Chen-Struwe. We show that the blow-up set of u_ε is a H^{m-2} - rectifiable set and its weak limit satisfies a blow-up formula. Consequently, the weak limit will be a stationary harmonic map if and only if the blow-up set is stationary.

  • History

Published online: 2003-05

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