Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group

2020

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DOI 10.1016/j.bulsci.2020.102916
Data confidence 70 medium
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Abstract

In this note, we show multiplicity of positive weak solutions for nonlinear equations with a first stratum Hardy potential on the Heisenberg and stratified groups. The mountain pass theorem, Sobolev-Folland-Stein and first stratum Hardy inequalities play key roles in our proofs.