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

preprint2020arXivOpen access

Abstract

Let ΩΩ be an open and bounded subset of a Carnot Group G\mathbb{G} and 2≤p<∞2\leq p<\infty. In this paper we present some results related to the convergence of solutions of Dirichlet problems for sequences of monotone operators. The aim of this paper is to give a generalization of well-known results of Tartar, De Arcangelis-Serra Cassano and Baldi-Franchi-Tchou-Tesi in more general frameworks.

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