Local and global behaviour of nonlinear equations with natural growth terms
Analysis of PDEs
2015-05-28 v1 Classical Analysis and ODEs
Abstract
This paper concerns a study of the pointwise behaviour of positive solutions to certain quasi-linear elliptic equations with natural growth terms, under minimal regularity assumptions on the underlying coefficients. Our primary results consist of optimal pointwise estimates for positive solutions of such equations in terms of two local Wolff's potentials.
Keywords
Cite
@article{arxiv.1107.2448,
title = {Local and global behaviour of nonlinear equations with natural growth terms},
author = {Benjamin J. Jaye and Igor E. Verbitsky},
journal= {arXiv preprint arXiv:1107.2448},
year = {2015}
}
Comments
In memory of Professor Nigel Kalton