Variational convergence of integrands with non-standart growth conditions

Homogenization and Random Phenomenon

16 October 15:00 - 15:55

Anna S. Khripunova Balci - Vladimir State University

We study the variational convergence of integral functionals F with integrands f(x, s, ξ) : Ω × ℝ × ℝd → ℝ, where f is a Carath´eodory function continuous with respect to s and ξ, convex with respect toξ, and satisfying a two-sided power estimate of coercivity and growth with exponents α and β, d < α _β < ∞. For α < β with the functional F we associate variational Dirichlet problems of the first and second type. For the class of such integrands we prove the compactness principle relative to Γ-convergence of two types.
Henrik Shahgholian
KTH Royal Institute of Technology
Panagiotis Souganidis
The University of Chicago


Henrik Shahgholian

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