The isoperimetric problem in the plane with the sum of two Gaussian densities
We consider the isoperimetric problem for the sum of two Gaussian densities in
the line and the plane. We prove that the double Gaussian isoperimetric regions
in the line are rays and that if the double Gaussian isoperimetric regions in the
plane are half-spaces, then they must be bounded by vertical lines.
- Publication Date:
- NSF-PAR ID:
- 10054850
- Journal Name:
- Involve
- Volume:
- 11
- Issue:
- 4
- Page Range or eLocation-ID:
- 549-567
- ISSN:
- 1944-4184
- Sponsoring Org:
- National Science Foundation
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