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Convergence of variational eigenvalues and eigenfunctions to the Dirichlet problem for the p-Laplacian in domains with fine-grained boundary
- 1.0349633 - MÚ 2011 RIV GB eng J - Článek v odborném periodiku
Drábek, P. - Namlyeyeva, Yu. - Nečasová, Šárka
Convergence of variational eigenvalues and eigenfunctions to the Dirichlet problem for the p-Laplacian in domains with fine-grained boundary.
Proceedings of the Royal Society of Edinburgh. A - Mathematics. Roč. 140, č. 3 (2010), s. 573-596. ISSN 0308-2105. E-ISSN 1473-7124
Grant CEP: GA ČR GA201/05/0005; GA MŠMT LC06052
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: perforated domains * homogenization
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.669, rok: 2010
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7782353&fileId=S0308210507001035
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.
Trvalý link: http://hdl.handle.net/11104/0189819
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