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Abstract: We study harmonic maps from degenerating Riemann surfaces with uniformlybounded energy and show the so-called generalized energy identity. We findconditions that are both necessary and sufficient for the compactness in$W^{1,2}$ and $C^{0}$ modulo bubbles of sequences of such maps.



Author: Miaomiao Zhu

Source: https://arxiv.org/







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