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Remark on the eigenvalues of the \(m\)-Laplacian in a punctured domain. (English) Zbl 1388.31006
Summary: In this paper, we prove some identities for the eigenvalues of the \(m\)-Laplacian in a punctured domain. Also, we discuss possible techniques to investigate spectral properties of the operators in punctured domains.
31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions
35P99 Spectral theory and eigenvalue problems for partial differential equations
47A75 Eigenvalue problems for linear operators
Full Text: DOI
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