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Double Γ-Convergence and Application to Energy Functionals

  • Mao-Sheng Chang (a1)

Abstract

We introduce a ‘double’ version of Γ-convergence, which we have named ‘double Γ-convergence’, and apply it to obtain the Γ-limit of double-perturbed energy functionals as p → 1 and p → +∞, respectively. The limit of (p, q)-type capacity as p → 1 and p → +∞, respectively, is also obtained in this manner.

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