Develops asymptotic analysis and energy identities for approximate harmonic maps on degenerating domains with free boundaries, proving neck convergence to geodesics or geodesic-like curves and existence of minimal cylinders via flow convergence.
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Asymptotic analysis for approximate harmonic maps from degenerating cylinders and applications to minimal surfaces
Develops asymptotic analysis and energy identities for approximate harmonic maps on degenerating domains with free boundaries, proving neck convergence to geodesics or geodesic-like curves and existence of minimal cylinders via flow convergence.