Electron. J. Diff. Equ., Vol. 2014 (2014), No. 266, pp. 1-19.

Limit of minimax values under Gamma-convergence

Marco Degiovanni, Marco Marzocchi

Abstract:
We consider a sequence of minimax values related to a class of even functionals. We show the continuous dependence of these values under the Gamma-convergence of the functionals.

Submitted November 15, 2014. Published December 25, 2014.
Math Subject Classifications: 35P30, 49R05, 58E05.
Key Words: Nonlinear eigenvalues; variational convergence; p-Laplace operator; total variation.

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Marco Degiovanni
Dipartimento di Matematica e Fisica
Universitá Cattolica del Sacro Cuore
Via dei Musei 41, 25121 Brescia, Italy
email: marco.degiovanni@unicatt.it
Marco Marzocchi
Dipartimento di Matematica e Fisica
Universitá Cattolica del Sacro Cuore
Via dei Musei 41, 25121 Brescia, Italy
email: marco.marzocchi@unicatt.it

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