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Limits of nonlinear Dirichlet problems in varying domains

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Abstract

We study the general form of the limit, in the sense of Γ-convergence, of a sequence of nonlinear variational problems in varying domains with Dirichlet boundary conditions. The asymptotic problem is characterized in terms of the limit of suitable nonlinear capacities associated to the domains.

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Dal Maso, G., Defranceschi, A. Limits of nonlinear Dirichlet problems in varying domains. Manuscripta Math 61, 251–278 (1988). https://doi.org/10.1007/BF01258438

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