Maximum principles for a class of nonlinear second order elliptic differential equations
Analysis of PDEs
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Abstract
In this paper we investigate maximum principles for functionals defined on solutions to special partial differential equations of elliptic type, extending results by Payne and Philippin. We apply such maximum principles to investigate one overdetermined problem.
Keywords
Cite
@article{arxiv.math/9804125,
title = {Maximum principles for a class of nonlinear second order elliptic differential equations},
author = {Giovanni Porru and Tewodros Amdeberhan and S. Vernier-Piro},
journal= {arXiv preprint arXiv:math/9804125},
year = {2025}
}
Comments
13 pages. See also http://www.math.temple.edu/~tewodros