Alexei Viktorovich Penskoi
Abstract
Known results on geometric optimisation of eigenvalues of the Laplace operator are briefly reviewed, and a?more detailed survey of?recent results in the theory of extremal metrics on surfaces is presented. Bibliography: 78 titles.
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Known results on geometric optimisation of eigenvalues of the Laplace operator are briefly reviewed, and a?more detailed survey of?recent results in the theory of extremal metrics on surfaces is presented. Bibliography: 78 titles.
Key concepts: Mathematics, Laplace–Beltrami operator, Eigenvalues and eigenvectors, Operator (biology), Mathematical analysis, Laplace transform, Pure mathematics, p-Laplacian