Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains
Analysis of PDEs
2022-04-27 v1
Abstract
We classify stable and finite Morse index solutions to general semilinear elliptic equations posed in Euclidean space of dimension at most 10, or in some unbounded domains.
Keywords
Cite
@article{arxiv.1912.11639,
title = {Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains},
author = {Louis Dupaigne and ALberto Farina},
journal= {arXiv preprint arXiv:1912.11639},
year = {2022}
}