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Convergence of variational eigenvalues and eigenfunctions to the Dirichlet problem for the p-Laplacian in domains with fine-grained boundary
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SYSNO ASEP 0349633 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Convergence of variational eigenvalues and eigenfunctions to the Dirichlet problem for the p-Laplacian in domains with fine-grained boundary Author(s) Drábek, P. (CZ)
Namlyeyeva, Yu. (UA)
Nečasová, Šárka (MU-W) RID, SAI, ORCIDSource Title Proceedings of the Royal Society of Edinburgh. A - Mathematics. - : Royal Society of Edinburgh - ISSN 0308-2105
Roč. 140, č. 3 (2010), s. 573-596Number of pages 24 s. Language eng - English Country GB - United Kingdom Keywords perforated domains ; homogenization Subject RIV BA - General Mathematics R&D Projects GA201/05/0005 GA ČR - Czech Science Foundation (CSF) LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000279185300006 EID SCOPUS 77957276066 DOI 10.1017/S0308210507001035 Annotation We study the problem of the homogenization of Dirichlet eigenvalue problems for the p-Laplace operator in a sequence of perforated domains with fine-grained boundary. Using the asymptotic expansion method, we derive the homogenized problem for the new equation with an additional term of capacity type. Moreover, we show that a sequence of eigenvalues for the problem in perforated domains converges to the corresponding critical levels of the homogenized problem. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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