A non-existence theorem for a semilinear Dirichlet problem involving critical exponent on halfspaces of the Heisenberg group

Nonlinear Differential Equations and Applications

Volumn 6, Issue 2, 1999, Pages 191-206

  Uguzzoni, Francesco ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

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EID: 0000190820     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000300050072     Document Type: Article

References (10)

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4. M.J. ESTEBAN, P.-L. LIONS, Existence and non-existence results for semilinear elliptic problems in unbounded domains, Proc. Roy. Soc. Edinburgh, Sect. A 93, 1-14 (1982).
5. G.B. FOLLAND, A fundamental solution for a subelliptic operator, Bull. Amer. Math. Soc. 79, 373-376 (1973).
6. b complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27, 429-522 (1974).
7. N. GAROFALO, E. LANCONELLI, Existence and nonexistence results for semilinear equations on the Heisenberg group, Indiana Univ. Math. J. 41, 71-98 (1992).
8. D. JERISON, J.M. LEE, Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem, J. Amer. Math. Soc. 1,1-13 (1988).
9. E. LANCONELLI, F. UGUZZONI, Asymptotic behavior and non-existence theorems for semilinear Dirichlet problems involving critical exponent on unbounded domains of the Heisenberg group, Boll. Un. Mat. Ital., to appear.
10. F. UGUZZONI, E. LANCONELLI, On the Poisson kernel for the Kohn Laplacian, Rend. Mat. Appl., to appear.