Document Zbl 0672.35049

Multiple eigenvalues of the Laplace operator. (English. Russian original) Zbl 0672.35049

Math. USSR, Sb. 61, No. 1, 225-238 (1988); translation from Mat. Sb., Nov. Ser. 133(175), No. 2, 223-237 (1987).

The estimates from above for the multiplicity of the eigenvalues of the Schrödinger operators on compact Riemannian two-dimensional manifolds are obtained. The paper contains also several examples illustrating the sharpness of the results.

Reviewer: M.A.Perelmuter

Cited in 3 Reviews

Cited in 10 Documents

MSC:

35P15	Estimates of eigenvalues in context of PDEs
35J10	Schrödinger operator, Schrödinger equation
35J15	Second-order elliptic equations
58J50	Spectral problems; spectral geometry; scattering theory on manifolds

Keywords:

estimates from above; multiplicity; Schrödinger operators; compact Riemannian two-dimensional manifolds

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Multiple eigenvalues of the Laplace operator. (English. Russian original) Zbl 0672.35049

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