Extremal functions for an embedding from some anisotropic space, and partial differential equation involving the "one Laplacian"
Analysis of PDEs
2018-04-18 v1
Abstract
In this paper, we prove the existence of extremal functions for the best constant of embedding from anisotropic space, allowing some of the Sobolev exponents to be equal to . We prove also that the extremal functions satisfy a partial differential equation involving the Laplacian.
Keywords
Cite
@article{arxiv.1804.06351,
title = {Extremal functions for an embedding from some anisotropic space, and partial differential equation involving the "one Laplacian"},
author = {Françoise Demengel and Thomas Dumas},
journal= {arXiv preprint arXiv:1804.06351},
year = {2018}
}
Comments
28 pages, no figure