Energy estimates for area minimizing hypersurfaces with arbitrary boundaries Academic Article

abstract

• 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.

authors

• Pitts, Jon

published proceedings

• JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

author list (cited authors)

• Parks, H. R., & Pitts, J. T.

citation count

• 0

complete list of authors

• Parks, HR||Pitts, JT

publication date

• March 2000

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics
• 7 Affordable And Clean Energy

Digital Object Identifier (DOI)

• 10.1016/S0377-0427(99)00183-1

start page

• 451

end page

• 460

volume

• 115

issue

• 1-2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fs0377-0427%2899%2900183-1

user-defined tag

• 7 Affordable and Clean Energy