Existence and nonexistence results for Kohn Laplacian with Hardy-Littlewood-Sobolev critical exponents

DOI10.1016/j.jmaa.2020.123915zbMath1445.35293OpenAlexW3004340203MaRDI QIDQ777133

Divya Goel, Konijeti Sreenadh

Publication date: 3 July 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123915

zbMATH Keywords

Heisenberg groupHardy-Littlewood-Sobolev inequalityChoquard-type nonlinearity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items

Variational framework and Lewy-Stampacchia type estimates for nonlocal operators on Heisenberg group, On the critical Choquard-Kirchhoff problem on the Heisenberg group, Multiplicity of solutions for the noncooperative Choquard-Kirchhoff system involving Hardy-Littlewood-Sobolev critical exponent on the Heisenberg group, Entire solutions for some critical equations in the Heisenberg group

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