Abstract
This article deals with existence and multiplicity of normalized solutions for critical Schrödinger-Poisson system involving the p-subLaplacian in the Heisenberg group. Under appropriate assumptions, together with the truncation technique, the concentration-compactness principle, the genus theory, we prove that the existence and multiplicity of the normalized solutions in the Lp-subcritical case. As far as we know, this study seems to be the first contribution regarding existence of normalized solutions for the critical p-subLaplacian Schrödinger-Poisson system in the Heisenberg group. Moreover, the results of the paper are completely new even in the Euclidean case.
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