A bifurcation of multiple eigenvalues and eigenfunctions for boundary value problems in a domain with a small hole

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J. Math. Sci. Univ. Tokyo
Vol. 1 (1994), No. 3, Page 567--587.

Tri, Nguyen Minh
A bifurcation of multiple eigenvalues and eigenfunctions for boundary value problems in a domain with a small hole
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Abstract:
In the present paper we study the asymptotic expansion of the multiple eigenvalues and eigenfunctions for boundary value problems in a domain with a small hole. We prove the bifurcation of these eigenvalues under certain conditions.

Mathematics Subject Classification (1991): Primary 35B20; Secondary 35B32, 35C20, 35P99

Mathematical Reviews Number: MR1322692

Received: 1994-01-14

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