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

DOI10.1016/j.bulsci.2020.102916zbMath1454.35407OpenAlexW3092683415MaRDI QIDQ2215839

Aidyn Kassymov, Durvudkhan Suragan

Publication date: 14 December 2020

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2020.102916

zbMATH Keywords

mountain pass theoremHardy inequalitysub-Laplacianstratified groupSobolev-Folland-Stein inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (2)

Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group ⋮ On the existence of nonnegative radial solutions for Dirichlet exterior problems on the Heisenberg group

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