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6. Harmonic maps


    1. Add remark

      Problem 6.1.

      [S. Dragomir] Can one understand the existence, regularity, and stability properties of exponentially subelliptic harmonic maps? Specifically:

      (a) What is the first variation of the exponential subharmonic energy?

      (b) What is the second variation of the exponential subharmonic energy at a critical point? Can one deduce stability results from this?

      (c) Can one prove regularity of weak solutions?

          Cite this as: AimPL: Analysis and geometry on pseudohermitian manifolds, available at http://aimpl.org/pshermitian.