HOMOGENIZATION OF PERIODIC NONLINEAR MEDIA WITH STIFF AND SOFT INCLUSIONS-Reference-Cited by-同舟云学术

HOMOGENIZATION OF PERIODIC NONLINEAR MEDIA WITH STIFF AND SOFT INCLUSIONS

Published:1995-06 Issue:04 Volume:05 Page:543-564
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BRAIDES ANDREA¹,GARRONI ADRIANA²

Affiliation:

1. Dipartimento di Elettronica per l’Automazione, Università di Brescia, via Valotti 9, 25060 Brescia, Italy

2. SISSA, via Beirut 4, 34014 Trieste, Italy

Abstract

We study the asymptotic behavior as ε→0 of highly oscillating periodic nonlinear functionals of the form [Formula: see text] defined on a Sobolev space W1,p(Ω; ℝm). We characterize their variational limit under the hypotheses that there exists a c such that the region where f(x, ξ)≤c(1+|ξ|p) does not hold for all matrices ξ is composed of well-separated sets, and the condition f(x, ξ)≥|ξ|p for all matrices ξ is verified on a connected open set with Lipschitz boundary.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202595000322

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