Solvability of the fourth order nonlinear subelliptic equations on the Heisenberg group.

DOI10.1007/s11766-003-0082-6zbMath1040.58007OpenAlexW1986421403MaRDI QIDQ1812217

Ji Hui Zhang

Publication date: 2003

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-003-0082-6

zbMATH Keywords

Heisenberg groupvariational methodsnonlinear subelliptic operator

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Boundary value problems on manifolds (58J32)

Related Items (3)

Picone's identity for biharmonic operators on Heisenberg group and its applications ⋮ Singular Adams inequality for biharmonic operator on Heisenberg group and its applications ⋮ Generalised nonlinear Picone identities for \(p\)-sub-Laplacians and \(p\)-biharmonic operators and applications

Cites Work

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• A criterion for analytic hypoellipticity of a class of differential operators with polynomial coefficients
• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• Intrinsic CR normal coordinates and the CR Yamabe problem
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Some necessary conditions for local solvability of linear partial differential operators
• On the solvability of degenerated quasilinear elliptic equations of higher order
• Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Existence results for the positive solutions of semilinear equations on the Heisenberg group

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