Poincare Inequalities and Neumann Problems for the p-Laplacian
Analysis of PDEs
2017-08-15 v1
Abstract
We prove an equivalence between weighted Poincare inequalities and the existence of weak solutions to a Neumann problem related to a degenerate p- Laplacian. The Poincare inequalities are formulated in the context of degenerate Sobolev spaces defined in terms of a quadratic form, and the associated matrix is the source of the degeneracy in the p-Laplacian.
Keywords
Cite
@article{arxiv.1708.03932,
title = {Poincare Inequalities and Neumann Problems for the p-Laplacian},
author = {David Cruz-Uribe and Scott Rodney and Emily Rosta},
journal= {arXiv preprint arXiv:1708.03932},
year = {2017}
}