Electron. J. Differential Equations, Vol. 2021 (2021), No. 13, pp. 1-13.

H-convergence for equations depending on monotone operators in Carnot groups

Alberto Maione

Abstract:
This article presents some results related to the convergence of solutions and momenta of Dirichlet problems for sequences of monotone operators in the sub-Riemannian framework of Carnot groups.

Submitted June 18, 2020. Published March 11, 2021.
Math Subject Classifications: 35B40, 35J66, 35R03, 47H05.
Key Words: H-convergence; Carnot groups; monotone operators; div-curl lemma.
DOI: https://doi.org/10.58997/ejde.2021.13

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Alberto Maione
Abteilung für Angewandte Mathematik
Albert-Ludwigs-Universität Freiburg, 79104
Hermann-Herder-Straße 10
Freiburg im Breisgau, Germany
email: alberto.maione@mathematik.uni-freiburg.de

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