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arXiv · 1906.09252

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

Alberto Maione
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Abstract

Let $\Omega$ be an open and bounded subset of a Carnot Group $\mathbb{G}$ and $2\leq p<\infty$. 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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Alberto Maione. 2019-06-21. $H$-convergence for equations depending on monotone operators in Carnot groups. https://doi.org/10.58997/ejde.2021.13

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