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manuscripta mathematica

, Volume 102, Issue 1, pp 85–99 | Cite as

Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group

  • Stanislav Pohozaev
  • Laurent Véron

Abstract:

Denoting Δ? the Laplacian operator on the (2N+1)-dimensional Heisenberg group ? N , we prove some nonexistence results for solutions of inequalities of the three types
$$$$
in ? N and ? N ×ℝ}+, with aL , when 1<pp 0, where p 0 depends on N and the type of equation.
Mathematics Subject Classification (1991):35J60, 35K60, 35L60 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Stanislav Pohozaev
    • 1
  • Laurent Véron
    • 2
  1. 1.Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina 8, 117996 Moscow, Russia. e-mail: pohozaev@mi.ras.ruRU
  2. 2.Laboratoire de Mathématiques et Physique Théorique, CNRS ESA 6083, Faculté des Sciences, Parc de Grandmont, 37200 Tours, France. e-mail: veronl@univ-tours.frFR

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