Geodesic
Asymptotic Analysis of Periodically Perforated Nonlinear Media Close to the Critical Exponent
Journal of convex analysis, Tome 15 (2008) no. 4, pp. 655-676
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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.
Mots-clés : Gamma-convergence, perforated domains, critical exponent 
@article{JCA_2008_15_4_JCA_2008_15_4_a0,
     author = {L. Sigalotti},
     title = {Asymptotic {Analysis} of {Periodically} {Perforated} {Nonlinear} {Media} {Close} to the {Critical} {Exponent}},
     journal = {Journal of convex analysis},
     pages = {655--676},
     year = {2008},
     volume = {15},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a0/}
}
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L. Sigalotti. Asymptotic Analysis of Periodically Perforated Nonlinear Media Close to the Critical Exponent. Journal of convex analysis, Tome 15 (2008) no. 4, pp. 655-676. http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a0/