Symmetry breaking bifurcations for two overdetermined boundary value problems with non-constant Neumann condition on exterior domains in R-3

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We study two overdetermined elliptic boundary value problems on exterior domains (the complement of a ball and the complement of a solid cylinder in R-3 respectively). The Neumann condition is non-constant and involves the mean curvature of the boundary. We show there exists a family of bifurcation branches of domains which are small deformations of the complement of a ball and of the complement of a solid cylinder, respectively, and which support the solution of the overdetermined boundary value problem.
Publisher
TAYLOR & FRANCIS INC
Issue Date
2021-06
Language
English
Article Type
Article
Citation

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, v.46, no.6, pp.1137 - 1161

ISSN
0360-5302
DOI
10.1080/03605302.2020.1871363
URI
http://hdl.handle.net/10203/285605
Appears in Collection
MA-Journal Papers(저널논문)
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