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Convergence of Eigenvalues and Eigenfunctions of Nonlinear Dirichlet Problems in Domains with Fine-Grain Boundary

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Abstract

We study the behavior of eigenvalues and eigenfunctions of the Dirichlet problem for nonlinear elliptic second-order equations in domains with fine-grain boundary.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Science, Donetsk

    I. V. Skrypnik & Yu. V. Namleeva

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  1. I. V. Skrypnik
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  2. Yu. V. Namleeva
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Skrypnik, I.V., Namleeva, Y.V. Convergence of Eigenvalues and Eigenfunctions of Nonlinear Dirichlet Problems in Domains with Fine-Grain Boundary. Ukrainian Mathematical Journal 55, 993–1011 (2003). https://doi.org/10.1023/B:UKMA.0000010599.23210.00

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010599.23210.00

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