, Volume 102, Issue 1, pp 85-99

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

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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.

Received: 17 June 1999