@article{AIHPC_1997__14_3_295_0, author = {Birindelli, I. and Capuzzo Dolcetta, I. and Cutr{\`\i}, A.}, title = {Liouville theorems for semilinear equations on the {Heisenberg} group}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {295--308}, publisher = {Gauthier-Villars}, volume = {14}, number = {3}, year = {1997}, mrnumber = {1450950}, zbl = {0876.35033}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1997__14_3_295_0/} }
TY - JOUR AU - Birindelli, I. AU - Capuzzo Dolcetta, I. AU - Cutrì, A. TI - Liouville theorems for semilinear equations on the Heisenberg group JO - Annales de l'I.H.P. Analyse non linéaire PY - 1997 SP - 295 EP - 308 VL - 14 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1997__14_3_295_0/ LA - en ID - AIHPC_1997__14_3_295_0 ER -
%0 Journal Article %A Birindelli, I. %A Capuzzo Dolcetta, I. %A Cutrì, A. %T Liouville theorems for semilinear equations on the Heisenberg group %J Annales de l'I.H.P. Analyse non linéaire %D 1997 %P 295-308 %V 14 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1997__14_3_295_0/ %G en %F AIHPC_1997__14_3_295_0
Birindelli, I.; Capuzzo Dolcetta, I.; Cutrì, A. Liouville theorems for semilinear equations on the Heisenberg group. Annales de l'I.H.P. Analyse non linéaire, Volume 14 (1997) no. 3, pp. 295-308. http://www.numdam.org/item/AIHPC_1997__14_3_295_0/
[1] Problèmes elliptiques indéfinis et théorèmes de Liouville non-linéaires, C. R. Acad. Sci. Paris , Série I, Vol. 317, 1993, pp. 945-950. | MR | Zbl
, and ,[2] Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Topological Methods in Nonlinear Analysis, Vol. 4.1, 1995, pp. 59-78. | MR | Zbl
, and ,[3] Indefinite semi-linear equations on the Heisenberg group: a priori bounds and existence, Preprint. | MR
, and ,[4] Principe du Maximum, Inégalité de Harnack et unicité du problème de Cauchy pour les operateurs elliptiques dégénérés, Ann. Inst. Fourier Grenobles, Vol. 19,1,1969, pp. 277-304. | Numdam | MR | Zbl
,[5] Existence and non-existence results for semilinear elliptic problems in unbounded domains Proc. R.S.E.(A), Vol. 93A,1982, pp. 1-14. | MR | Zbl
and ,[6] Fondamental solution for subelliptic operators, Bull. Amer. Math. Soc., Vol. 79, 1979, pp. 373-376. | MR | Zbl
,[7] Estimates for the ∂h complex and analysis on the Heisenberg Group, Comm. Pure Appl.Math., Vol. 27, 1974, pp. 492-522. | MR | Zbl
and ,[8] Existence and non existence results for semilinear equations on the Heisenberg group, Indiana Univ. Math. Journ., Vol. 41, 1992, pp. 71-97. | MR | Zbl
and ,[9] Principe de moindre action, propagation de la chaleur et estimeé sous elliptiques sur certain groups nilpotents, Acta Math., Vol. 139, 1977, pp. 95-153. | MR | Zbl
,[10] Global and local behavior of positive solutions of nonlinear elliptic equations Comm. Pure Appl. Math, Vol. 35, 1981, pp. 525-598. | MR | Zbl
and[11] Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1983. | MR | Zbl
and[12] Spherical harmonics in the Heisenberg group, Canad. Math. Bull., Vol. 23 (4), 1980, pp. 383-396. | MR | Zbl
,[13] Hypoelliptic second order differential equations, Acta Math., Uppsala, Vol. 119, 1967, pp. 147-171. | MR | Zbl
,