Abstract
This paper is concerned with the existence and nonexistence of positive solutions for the nonlinear integral equations with weights related to the sharp Hardy–Littlewood–Sobolev (hereinafter referred to as HLS) inequality on bounded domains of the Heisenberg group : where q>1, , , Q = 2n + 2 is the homogeneous dimension of , , is a smooth bounded domain and is nonnegative continuous in .
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