Some Steiner Symmetry Results in Overdetermined Boundary Value Problem - Advances in Pure Mathematics

APM > Vol.1 No.6, November 2011

Some Steiner Symmetry Results in Overdetermined Boundary Value Problem ()

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DOI: 10.4236/apm.2011.16061 4,671 Downloads 8,783 Views

Author(s)

Zhongbo Fang, Anna Wang

Affiliation(s)

ABSTRACT

In this paper, we use the moving planes method to prove that the domain Ω and the solution u are Steiner symmetric if u is a positive solution of the overdetermined boundary value problem in Ω.

KEYWORDS

Steiner Symmetry, Moving Planes Method, Overdetermined Boundary Value Problem

Share and Cite:

Z. Fang and A. Wang, "Some Steiner Symmetry Results in Overdetermined Boundary Value Problem," Advances in Pure Mathematics, Vol. 1 No. 6, 2011, pp. 340-344. doi: 10.4236/apm.2011.16061.

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