@article{ASNSP_1997_4_25_1-2_239_0,
author = {Capuzzo Dolcetta, Italo and Cutr{\`\i}, Alessandra},
title = {On the {Liouville} property for sublaplacians},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {239--256},
year = {1997},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 25},
number = {1-2},
mrnumber = {1655517},
zbl = {1042.35013},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1997_4_25_1-2_239_0/}
}
TY - JOUR AU - Capuzzo Dolcetta, Italo AU - Cutrì, Alessandra TI - On the Liouville property for sublaplacians JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1997 SP - 239 EP - 256 VL - 25 IS - 1-2 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1997_4_25_1-2_239_0/ LA - en ID - ASNSP_1997_4_25_1-2_239_0 ER -
%0 Journal Article %A Capuzzo Dolcetta, Italo %A Cutrì, Alessandra %T On the Liouville property for sublaplacians %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1997 %P 239-256 %V 25 %N 1-2 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1997_4_25_1-2_239_0/ %G en %F ASNSP_1997_4_25_1-2_239_0
Capuzzo Dolcetta, Italo; Cutrì, Alessandra. On the Liouville property for sublaplacians. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 25 (1997) no. 1-2, pp. 239-256. https://www.numdam.org/item/ASNSP_1997_4_25_1-2_239_0/
[1] - - , Problèmes elliptiques indéfinis et théorèmes de Liouville non-linéaires, C. R. Acad. Sci. Paris, Série 1317 (1993), 945-950. | Zbl | MR
[2] - - , Superlinear indefinite elliptic problems and nonlinear Liouville theorems, Topological Methods in Nonlinear Analysis 4,1 (1995) 59-78. | Zbl | MR
[3] , Positive solutions for a semilinear equation on the Heisenberg group, Bull. UMI 9, B (1995), 883-900. | Zbl | MR
[4] , Nonlinear Liouville theorems, to appear in "Reaction Diffusion Systems", Caristi and Mitidieri (eds) | Zbl | MR
[5] - - , Liouville theorems for semilinear equations on the Heisenberg group, Ann. Inst. Henri Poincaré, Analyse Non Linéaire 14,3 (1997), 295-308. | Zbl | MR | Numdam
[6] - - , Indefinite semi-linear equations on the Heisenberg group: a priori bounds and existence, to appear in Comm. Partial Diff. Eq. | Zbl | MR
[7] , Principe du Maximum, Inégalité de Harnack et unicité du problème de Cauchy pour les operateurs elliptiques dégénérés, Ann. Inst. Fourier Grenobles 19,1 (1969), 277-304. | Zbl | MR | Numdam
[8] , Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian, pre-print.
[9] - , Analyse harmonique sur certaines espaces homogènes, in "Lectures Notes in Math.", 242, Springer Verlag, Berlin-Heidelberg-New York, 1971. | Zbl | MR
[10] , "Problemi semilineari ed integro-differenziali per sublaplaciani", PhD Thesis, Università di Roma Tor Vergata, 1997.
[11] - , Liouville tipe theorems for weighted elliptic equations, pre-print MeMoMat, Università Roma - La Sapienza, 1997.
[12] , Fundamental solution for a subelliptic operator, Bull. Amer. Math. Soc. 79 (1973), 373-376. | Zbl | MR
[13] - , Compensation couples and isoperimetric estimates for vector fields, pre-print.
[14] , Capacités, mouvement brownien et problème de l'épine de Lebesgue sur les groupes de Lie nilpotents, in "Proc. VII Oberwolfach Conference on Probability Measures on Groups", Lectures Notes in Math., 1981. | Zbl
[15] , book to appear.
[16] - , Existence and non existence results for semilinear equations on the Heisenberg Group, Indiana Univ. Math. Journ. 41 (1992), 71-97. | Zbl | MR
[17] - , The Yamabe problem on CR manifolds, J. Differential Geometry 25 (1987), 167-197. | Zbl | MR
[18] , Principe de moindre action, propagation de la chaleur et estimeés sous elliptiques sur certain groupes nilpotents, Acta Math. 139 (1977), 95-153. | Zbl | MR
[19] - , Global and local behavior of positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math. 35 (1981), 525-598. | Zbl | MR
[20] - , A priori bounds for positive solutions of nonlinear elliptic equations, Comm. Partial Diff. Eq. 6, 8 (1981), 883-901. | Zbl | MR
[21] , NilpotentLie groups: Structures andApplications toAnalysis, in "Lecture Notes in Math." 562, Berlin-Heidelberg -New York, 1976. | Zbl
[22] , "The Structure of Lie Groups", Holden-Day Inc., San Francisco, 1965. | Zbl | MR
[23] , Hypoelliptic second order differential equations, Acta Math., Uppsala, 119 (1967), 147-171. | Zbl | MR
[24] - , Teoremi di Liouville per operatori di tipo fuchsiano sul gruppo di Heisenberg, pre-print, Dipartimento di Matematica, Università di Roma La Sapienza, 1997.
[25] - , Asymptotic behaviour and non existence theorems for semilinear Dirichlet problems involving critical exponent on unbounded domains of the Heisenberg group, pre-print.
[26] , Probabilities on the Heisenberg group, in "Lecture Notes in Math.", 1630, Springer, 1996. | Zbl | MR
[27] - , "Second Order Equations with Nonnegative Characteristic Form", A.M.S. Providence, Plenum Press, 1973. | MR
[28] , On positive Liouville's theorems and asymptotic behaviour of solutions of Fuchsian elliptic operators, Ann. Inst. Henri Poincaré, Analyse Non Linéaire 11 (1994) 313-341. | Zbl | MR | Numdam
[29] - , Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1976) 247-320. | Zbl | MR
[30] , Semilinear subelliptic equations and Sobolev inequality for vector fields satisfying Hörmander condition, Chinese Journal of Contemporary Mathematics 15,2 (1994) 183-192. | Zbl | MR






