Approximate convexity principles and applications to PDEs in convex domains
Analysis of PDEs
2019-02-19 v1
Abstract
We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some meaningful special cases.
Keywords
Cite
@article{arxiv.1902.06419,
title = {Approximate convexity principles and applications to PDEs in convex domains},
author = {Claudia Bucur and Marco Squassina},
journal= {arXiv preprint arXiv:1902.06419},
year = {2019}
}
Comments
20 pages