Nonexistence for semilinear equations and systems in the Heisenberg group

DOI10.1006/jmaa.1999.6574zbMath0941.35013OpenAlexW1985284100MaRDI QIDQ1963963

Peng Cheng Niu

Publication date: 3 February 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6574

zbMATH Keywords

nonexistence results for nonnegative solutions

Mathematics Subject Classification ID

General properties and structure of other Lie groups (22E20) Subelliptic equations (35H20)

Related Items

Multiplicity and boundedness of solutions for quasilinear elliptic equations on Heisenberg group ⋮ Singular Adams inequality for biharmonic operator on Heisenberg group and its applications ⋮ An integral type Brezis-Nirenberg problem on the Heisenberg group ⋮ Multiple solutions of semilinear elliptic systems on the Heisenberg group ⋮ Principal frequency of \(p\)-sub-Laplacians for general vector fields ⋮ Fractional Adams-Moser-Trudinger type inequality on Heisenberg group

Cites Work

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• Positive solutions of Yamabe-type equations on the Heisenberg group
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Positive splutions of semilinear elliptic systems
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• A rellich type identity and applications
• Existence results for the positive solutions of semilinear equations on the Heisenberg group
• Regularity at the boundary for solutions of nonlinear subelliptic equations