On the negativity of higher order derivatives of Dirichlet’s energy in plateau’s problemReport as inadecuate




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manuscripta mathematica

, 131:179

First Online: 24 November 2009Received: 22 May 2006

Abstract

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 200049Q05 58E12  Download to read the full article text



Author: Anthony J. Tromba

Source: https://link.springer.com/



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