Gary Lawlor
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Gary Lawlor has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
- Denise M. Halverson
Department of Mathematics, Brigham Young University, Provo, UT 84602, USA
1 shared publication - Donald Sampson
Department of Mathematics, Brigham Young University, Provo, Utah 84604
1 shared publication - Drew Johnson
Department of Mathematics, Brigham Young University, Provo, Utah 84604
1 shared publication - Michael Kerckhove
Department of Mathematics and Computer Science, University of Richmond, Virginia 23173
1 shared publication - Rebecca Dorff
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 May 2007
- Published by Taylor & Francis in The American Mathematical Monthly
- Vol. 114 (5) , 441-443
The Circle and the Cycloid: A Surprising Link
- 1 May 2007
- Published by Taylor & Francis in The American Mathematical Monthly
- Vol. 114 (5) , 441-443
The Circle and the Cycloid: A Surprising Link
- 24 October 2005
- Published by Springer Nature in Calculus of Variations and Partial Differential Equations
- Vol. 25 (2) , 257-273
Area-minimizing subsurfaces of Scherk's singly periodic surface and the catenoid
- 24 October 2005
- Published by Springer Nature in Calculus of Variations and Partial Differential Equations
- Vol. 25 (2) , 257-273
Area-minimizing subsurfaces of Scherk's singly periodic surface and the catenoid