Harmonic maps from degenerating Riemann surfaces

Abstract

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

27 pages

Cited by in corpus (3)

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