Advances in Pure Mathematics

Volume 1, Issue 6 (November 2011)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

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Some Steiner Symmetry Results in Overdetermined Boundary Value Problem

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DOI: 10.4236/apm.2011.16061    4,678 Downloads   8,797 Views  
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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.

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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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