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Title: Computing the first eigenvalue of the p-Laplacian via the inverse power method.
Authors: Biezuner, Rodney Josué
Ercole, Grey
Martins, Eder Marinho
Keywords: p-Laplacian
First eigenvalue
Comparison principle
Power method
Issue Date: 2009
Citation: BIEZUNER, R. J.; ERCOLE, G.; MARTINS, E. M. Computing the first eigenvalue of the p-Laplacian via the inverse power method. Journal of Functional Analysis, v. 257, n. 1, p. 243-270, 2009. Disponível em: <>. Acesso em: 03 dez. 2012
Abstract: In this paper, we discuss a new method for computing the first Dirichlet eigenvalue of the p-Laplacian inspired by the inverse power method in finite dimensional linear algebra. The iterative technique is independent of the particular method used in solving the p-Laplacian equation and therefore can be made as efficient as the latter. The method is validated theoretically for any ball in Rn if p >1 and for any bounded domain in the particular case p = 2. For p >2 the method is validated numerically for the square.
ISSN: 00221236
metadata.dc.rights.license: O periódico Journal of Functional Analysis concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3305300201996.
Appears in Collections:DEMAT - Artigos publicados em periódicos

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