Stability of positive solutions to biharmonic equations on Heisenberg group
Analysis of PDEs
2019-04-30 v4
Abstract
In this note, we establish the existence of a positive solution and its stability to the following problem \Delta_{\mathbb{H}^n}^2u=a(\xi)u-f(\xi,u)\text{ in }\Omega, \,\,\, u|_{\partial\Omega} = 0 =\left.\Delta_{\mathbb{H}^n} u|_{\partial\Omega}, on Heisenberg group.
Cite
@article{arxiv.1606.06413,
title = {Stability of positive solutions to biharmonic equations on Heisenberg group},
author = {Gaurav Dwivedi and Jagmohan Tyagi},
journal= {arXiv preprint arXiv:1606.06413},
year = {2019}
}
Comments
SOme remarks are added and few typos are corrected in this version