Abstract

The limit energy density, by Γ-convergence, of sequences of functionals whose densities satisfy a growth condition of order pj(x)p_j(x), depending on the laminate structure of the domain, is computed explicitly through a finite dimensional minimization problem.

Author information

Contact details are reproduced from the original publication and may be historical.

Hélia Serrano

Dep. de Matemáticas, ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain

heliac.pereira@uclm.es

Keywords

  • Gamma-convergence
  • p-Laplacian
  • Young measures

Mathematics Subject Classification

35A15, 49J40

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Suggested citation

H. Serrano. “Homogenization of Non-Linear Functionals with Laminate-Type Growth.” Journal of Convex Analysis 17 (2010), No. 2, 509–520. https://doi.org/10.68381/jca17034

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Published by Heldermann Verlag, 2010. Rights now held by Banach Press LLC.