Rebecca Dorff
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Rebecca Dorff has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
- Donald Sampson
Department of Mathematics, Brigham Young University, Provo, Utah 84604
2 shared publications Brandon Wilson
1 shared publication- Drew Johnson
Department of Mathematics, Brigham Young University, Provo, Utah 84604
1 shared publication Gary Lawlor
1 shared publication- Gary Lawlor
Department of Mathematics, Brigham Young University, Provo, Utah 84604
1 shared publication
Latest Publications
- Open Access
- 26 April 2011
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 139 (12) , 4467-4473
Isoperimetric surfaces with boundary
We prove that many common combinations of soap films and soap bubbles that result from dipping polyhedral wire frames in a soap solution are minimizing with respect to their boundary and bubble volume. This can be thought of as a combination of the Plateau problem of least area for surfaces spanning a given boundary and the isoperimetric problem of least area for surfaces enclosing a given volume. Proof is given in arbitrary dimension using a combination of the mapping of Gromov, after Knothe, and the paired calibrations of Lawlor and Morgan.
- 26 April 2011
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 139 (12) , 4467-4473
Open AccessIsoperimetric surfaces with boundary
We prove that many common combinations of soap films and soap bubbles that result from dipping polyhedral wire frames in a soap solution are minimizing with respect to their boundary and bubble volume. This can be thought of as a combination of the Plateau problem of least area for surfaces spanning a given boundary and the isoperimetric problem of least area for surfaces enclosing a given volume. Proof is given in arbitrary dimension using a combination of the mapping of Gromov, after Knothe, and the paired calibrations of Lawlor and Morgan.
- 1 January 2009
- Published by Mathematical Sciences Publishers in Involve, a Journal of Mathematics
- Vol. 2 (5) , 611-628
Proof of the planar double bubble conjecture using metacalibration methods
- 1 January 2009
- Published by Mathematical Sciences Publishers in Involve, a Journal of Mathematics
- Vol. 2 (5) , 611-628
Proof of the planar double bubble conjecture using metacalibration methods