An elementary note about the G-convergence for a type of nonlocal p-laplacian operator
Analysis of PDEs
2020-05-22 v3 Optimization and Control
Abstract
Simple applications of a principle of minimum energy and the property of monotonicity for the corresponding non-local operator, have allowed a direct proof of the G-compactness in a weak sense, as well as in the strong sense. The definitions of H-convergence and G-convergence, weak or strong, have been proved to be equivalent.
Keywords
Cite
@article{arxiv.2004.06670,
title = {An elementary note about the G-convergence for a type of nonlocal p-laplacian operator},
author = {Julio Muñoz},
journal= {arXiv preprint arXiv:2004.06670},
year = {2020}
}