Gagliardo-Nirenberg-Sobolev inequalities on planar graphs
Dynamical Systems
2021-10-15 v1
Abstract
In this paper we study a family of interpolation Gagliardo-Nirenberg-Sololev inequalities on planar graphs. We are interested in knowing when the best constants in the inequalities are achieved. We also analyse the set of solutions of the corresponding Euler-Lagrange equations.
Keywords
Cite
@article{arxiv.2110.07212,
title = {Gagliardo-Nirenberg-Sobolev inequalities on planar graphs},
author = {Maria J. Esteban},
journal= {arXiv preprint arXiv:2110.07212},
year = {2021}
}