English

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

Analysis of PDEs 2024-01-09 v3 Functional Analysis

Abstract

Let Ω\Omega be an open and bounded subset of a Carnot Group G\mathbb{G} and 2p<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.

Keywords

Cite

@article{arxiv.1906.09252,
  title  = {$H$-convergence for equations depending on monotone operators in Carnot groups},
  author = {Alberto Maione},
  journal= {arXiv preprint arXiv:1906.09252},
  year   = {2024}
}
R2 v1 2026-06-23T10:00:12.696Z