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Double Γ-Convergence and Application to Energy Functionals
Published online by Cambridge University Press: 28 July 2014
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.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 1 , February 2015 , pp. 107 - 124
- Copyright
- Copyright © Edinburgh Mathematical Society 2015