Symmetry result for some overdetermined boundary value problems

Mohammed Barkatou, Samira Khatmi

Abstract


The aim of this paper is to prove a symmetry result for several overdetermined boundary value problems. For the first two problems, our method combine the maximum principle with the monotonicity of the mean curvature. For the others, we use essentially the compatibility condition of the Neumann problem.

doi:10.1017/S1446181108000163



DOI: http://dx.doi.org/10.21914/anziamj.v49i0.189



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.