Abstract

We give a Γ-convergence result for vector-valued nonlinear energies defined on periodically perforated domains. We consider integrands with p-growth for p converging to the space dimension n. We prove that for p close to the critical exponent n there are three regimes, two with a non-trivial size of the perforations (exponential and mixed polynomial-exponential) and one where the Γ-limit is always trivial.

Author information

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Laura Sigalotti

Dip. di Matematica, Università di Roma "La Sapienza", Piazzale A. Moro 2, 00185 Roma, Italy

sigalott@mat.uniroma1.it

Keywords

  • Gamma-convergence
  • perforated domains
  • critical exponent

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Suggested citation

L. Sigalotti. “Asymptotic Analysis of Periodically Perforated Nonlinear Media Close to the Critical Exponent.” Journal of Convex Analysis 15 (2008), No. 4, 655–676. https://doi.org/10.68381/jca15045

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press LLC.