Stability of positive solutions to biharmonic equations on Heisenberg   group
  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. 
Gaurav Dwivedi, Jagmohan Tyagi
math.AP