Nonexistence results for a pseudo-hyperbolic equation in the heisenberg group

Mokhtar Kirane, Lakhdar Ragoub

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Sufficient conditions are obtained for the nonexistence of solutions to the nonlinear pseudo-hyperbolic equation (formula presented) where ∆is the Kohn-Laplace operator on the (2N+1)-dimensional Heisenberg group ℍ Then, this result is extended to the case of a 2 Ⅹ 2-system of the same type. Our technique of proof is based on judicious choices of the test functions in the weak formulation of the sought solutions.

Original languageBritish English
Article number110
JournalElectronic Journal of Differential Equations
StatePublished - 22 Apr 2015


  • Heisenberg group
  • Nonexistence
  • Nonlinear pseudo-hyperbolic equation
  • Systems of pseudo-hyperbolic equations


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