Remark on the Eigenvalues of the m-Laplacian in a Punctured Domain
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DOI: 10.1007/s11785-017-0691-3
Abstract: 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. read more here.
Keywords: eigenvalues laplacian; punctured domain; laplacian punctured; remark eigenvalues ... See more keywords
Eigenvalues of the Laplacian with moving mixed boundary conditions: The case of disappearing Neumann region
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DOI: 10.1016/j.jde.2022.02.052
Abstract: We deal with eigenvalue problems for the Laplacian with varying mixed boundary conditions, consisting in homogeneous Neumann conditions on a vanishing portion of the boundary and Dirichlet conditions on the complement. By the study of… read more here.
Keywords: mixed boundary; boundary conditions; eigenvalues laplacian; case ... See more keywords
High-Accuracy Calculation of Eigenvalues of the Laplacian in an Ellipse (with Neumann Boundary Condition)
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DOI: 10.1134/s1064562419030050
Abstract: A numerical technique for solving the eigenvalue problem for the Laplacian in an ellipse is described. The results are based on K.I. Babenko’s ideas. In elliptic coordinates, the variables in the Laplace equation for an… read more here.
Keywords: ellipse; accuracy calculation; laplacian ellipse; high accuracy ... See more keywords