Harmonic Maps and Critical Points of Penalized Energy |
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| Authors: | Chunqin Zhou & Deliang Xu |
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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. |
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| Keywords: | Harmonic map blow-up formula penalized energy |
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