Energy estimates for area minimizing hypersurfaces with arbitrary boundaries Academic Article uri icon


  • A notion of constrained least energy is defined for functions mapping a subset of Euclidean space to the circle. Under appropriate hypotheses, existence of such constrained least energy functions is proved. Finally, an integral bound is proved for functions nearly minimizing the constrained energy. 2000 Elsevier Science B.V.

published proceedings

  • Journal of Computational and Applied Mathematics

author list (cited authors)

  • Parks, H. R., & Pitts, J. T.

complete list of authors

  • Parks, Harold R||Pitts, Jon T

publication date

  • January 1, 2000 11:11 AM