Green's identities for \((p, q)\)-sub-Laplacians on the Heisenberg group and their applications
DOI10.1007/S11785-022-01219-6zbMath1485.35364OpenAlexW4293085244MaRDI QIDQ2119584
Aidana Abdikarim, Durvudkhan Suragan
Publication date: 29 March 2022
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-022-01219-6
Analysis on real and complex Lie groups (22E30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
- Green's identities, comparison principle and uniqueness of positive solutions for nonlinear \(p\)-sub-Laplacian equations on stratified Lie groups
- Harmonic analysis on the Heisenberg group
- Solitons in several space dimensions: Derrick's problem and infinitely many solutions
- Green-type identities for Rockland operators on graded Lie groups
- Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities
- Extensions of a result by G. Talenti to \((p,q)\)-Laplace equations
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group
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