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- W2072793182 abstract "We consider the Dirichlet and the Neumann eigenvalue problem for the Laplace operator on a variable nonsmooth domain, and we prove that the elementary symmetric functions of the eigenvalues splitting from a given eigenvalue upon domain deformation have a critical point at a domain with the shape of a ball. Correspondingly, we formulate overdetermined boundary value problems of the type of the Schiffer conjecture." @default.
- W2072793182 created "2016-06-24" @default.
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- W2072793182 date "2006-01-01" @default.
- W2072793182 modified "2023-09-23" @default.
- W2072793182 title "Critical points of the symmetric functions of the eigenvalues of the Laplace operator and overdetermined problems" @default.
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- W2072793182 doi "https://doi.org/10.2969/jmsj/1145287100" @default.
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