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

Abstract

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

References in corpus (4)

• $\Gamma$-convergence for functionals depending on vector fields. I. Integral representation and compactness
• Nonlinear elliptic equations on Carnot groups
• Integral representation of local left--invariant functionals in Carnot groups
• Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups

Cited by in corpus (3)

• Integral representation of local left--invariant functionals in Carnot groups
• $\Gamma$-convergence for functionals depending on vector fields. II. Convergence of minimizers
• $H$-compactness for nonlocal linear operators in fractional divergence form