Relaxed energies, defect measures, and minimal currents

  • Fang-Hua Lin

    New York University, United States of America
Relaxed energies, defect measures, and minimal currents cover
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Abstract

In this chapter, we describe very briefly several earlier studies concerning energy minimizing harmonic maps and maps that minimize the so-called relaxed energy from into . Of particular interest is the partial regularity and properties of possible singularities of such maps. We also sketch a proof of a formula conjectured by H. Brezis and P. Mironescu (2021) concerning the relaxed -energy for Sobolev maps from into , for .