Singular Adams inequality for biharmonic operator on Heisenberg Group and its applications

Abstract

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 toThe special feature of this problem is that it contains an exponential nonlinearity and singular potential.

Erratum to: Singular Adams inequality for biharmonic operator on Heisenberg Group and its applications

“…In [1], we have established Adams-type inequality for biharmonic operator on Heisenberg group and proved the existence of solution to a biharmonic equation involving a singular potential and a nonlinearity satisfying critical and subcritical exponential growth condition.…”

“…To answer this question, we need an Adams-type inequality with Q = 4. Thus, we need to work with H 1 instead of H 4 in [1]. For the sake of clarity, we restate the main results of [1].…”

“…Thus, we need to work with H 1 instead of H 4 in [1]. For the sake of clarity, we restate the main results of [1]. However, all the proofs remain unchanged.…”