On semilinear equations with free boundary conditions on stratified Lie groups
Analysis of PDEs
2022-09-21 v1
Abstract
In this paper we establish existence of a solution to a semilinear equation with free boundary conditions on stratified Lie groups. In the process, a monotonicity condition is proved, which is quintessential in establishing the regularity of the solution.
Keywords
Cite
@article{arxiv.2209.06527,
title = {On semilinear equations with free boundary conditions on stratified Lie groups},
author = {Debajyoti Choudhuri and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2209.06527},
year = {2022}
}