Abstract
The goal of this paper is to establish singular Adams type inequality for biharmonic operator on Heisenberg group. As an application, we establish the existence of a solution to
where \({0\in \Omega \subseteq \mathbb{H}^4}\) is a bounded domain, \(0 \leq a \leq Q,\,(Q=10).\) The special feature of this problem is that it contains an exponential nonlinearity and singular potential.
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An erratum to this article is available at http://dx.doi.org/10.1007/s00030-017-0446-x.
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Dwivedi, G., Tyagi, J. Singular Adams inequality for biharmonic operator on Heisenberg Group and its applications. Nonlinear Differ. Equ. Appl. 23, 58 (2016). https://doi.org/10.1007/s00030-016-0412-z
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DOI: https://doi.org/10.1007/s00030-016-0412-z