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 a∈L ∞, when 1<p≤p 0, where p 0 depends on N and the type of equation.
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Received: 17 June 1999
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Pohozaev, S., Véron, L. Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group. manuscripta math. 102, 85–99 (2000). https://doi.org/10.1007/PL00005851
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DOI: https://doi.org/10.1007/PL00005851