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arXiv:1606.06413 [math.AP]AbstractReferencesReviewsResources

Stability of positive solutions to biharmonic equations on Heisenberg group

Gaurav Dwivedi, Jagmohan Tyagi

Published 2016-06-21Version 1

In this note, we establish the existence of a positive solution and its stability to the following problem $$\Delta_{\mathbb{H}^n}^2u=a(\xi)u-f(\xi,u)\text{ in }\Omega, \,\,\, u|_{\partial\Omega} = 0 =\left.\Delta_{\mathbb{H}^n} u\right|_{\partial\Omega},$$ on Heisenberg group.

Comments: 11 Pages
Categories: math.AP
Subjects: 35B35, 35B09, 35J91, 35R03
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