On the negativity of higher order derivatives of Dirichlet’s energy in plateau’s problem
- Anthony J. TrombaAffiliated withUniversity of California Email author
We calculate higher order derivatives of Dirichlet’s Energy at a branched minimal surface in the direction of Forced Jacobi Fields discovered by the author and R. Böhme. We show that, under certain conditions these derivatives can be made negative, while all lower order derivatives vanish. This is the first time that derivatives of order greater than three have been calculated.
Mathematics Subject Classification (2000)49Q05 58E12
- On the negativity of higher order derivatives of Dirichlet’s energy in plateau’s problem
- Open Access
- Available under Open Access This content is freely available online to anyone, anywhere at any time.
Volume 131, Issue 1-2 , pp 179-197
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- 1. University of California, Santa Cruz, 9506, CA, USA