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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 261, Pages 301–303 (Mi tm758)  
On the Poincaré Inequality for Periodic Composite Structures

V. V. Shumilova

Branch of the Moscow Psychology-Social Institute
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Abstract: We consider periodic composite structures characterized by a periodic Borel measure equal to the sum of at least two periodic measures. For such a composite structure, verifying the Poincaré inequality may be a difficult problem. Thus, we are interested in finding conditions under which it suffices to verify the Poincaré inequality separately for each of the simpler structure components instead of verifying it for the composite structure.
Received in February 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 261, Pages 295–297
DOI: https://doi.org/10.1134/S0081543808020247
Bibliographic databases:
UDC: 517.965
Language: Russian
Citation: V. V. Shumilova, “On the Poincaré Inequality for Periodic Composite Structures”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 261, MAIK Nauka/Interperiodica, Moscow, 2008, 301–303; Proc. Steklov Inst. Math., 261 (2008), 295–297
Citation in format AMSBIB
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\paper On the Poincar\'e Inequality for Periodic Composite Structures
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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