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The Dirichlet energy of mappings with values into the sphere. (English) Zbl 0678.49006

Summary: We discuss the relaxed functional of the Dirichlet energy. We also prove partial regularity of minimizers and concentration of the gradient on singular lines.

MSC:

49J45 Methods involving semicontinuity and convergence; relaxation
49J99 Existence theories in calculus of variations and optimal control
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References:

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