A priori estimates for elliptic equations with reaction terms involving the function and its gradient
Analysis of PDEs
2019-07-29 v2
Abstract
We study local and global properties of solutions of --u = u p + M ||u| q in a domain of R N , in the range min{p, q} > 1 and M R. We prove a priori estimates and existence or non-existence of ground states.
Cite
@article{arxiv.1810.12230,
title = {A priori estimates for elliptic equations with reaction terms involving the function and its gradient},
author = {Marie-Françoise Bidaut-Véron and Marta Garcia-Huidobro and Laurent Veron},
journal= {arXiv preprint arXiv:1810.12230},
year = {2019}
}