@article{RSMUP_1999__102__51_0,
author = {Uguzzoni, Francesco},
title = {Asymptotic behavior of solutions of {Schr\"odinger} inequalities on unbounded domains of nilpotent {Lie} groups},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {51--65},
year = {1999},
publisher = {Seminario Matematico of the University of Padua},
volume = {102},
mrnumber = {1739532},
zbl = {0943.22008},
language = {en},
url = {https://www.numdam.org/item/RSMUP_1999__102__51_0/}
}
TY - JOUR AU - Uguzzoni, Francesco TI - Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1999 SP - 51 EP - 65 VL - 102 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_1999__102__51_0/ LA - en ID - RSMUP_1999__102__51_0 ER -
%0 Journal Article %A Uguzzoni, Francesco %T Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups %J Rendiconti del Seminario Matematico della Università di Padova %D 1999 %P 51-65 %V 102 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_1999__102__51_0/ %G en %F RSMUP_1999__102__51_0
Uguzzoni, Francesco. Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 102 (1999), pp. 51-65. https://www.numdam.org/item/RSMUP_1999__102__51_0/
[BCC] - - , Liouville theorems for semilinear equations on the Heisenberg group, Ann. Inst. H. Poincaré Anal. Non Linéaire, 14 (1997), pp. 295-308. | Zbl | MR | Numdam
[CGL] - - , Harnack's inequality for sum of squares of vector fields plus a potential, Amer. J. Math., 115 (1993), pp. 699-734. | Zbl | MR
[DG] - , Geometric properties of solutions to subelliptic equations in nilpotent Lie groups, Reaction diffusion systems, Lecture Notes in Pure and Appl. Math., 194 (1995), pp. 89-105. | Zbl | MR
[F] , Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat., 13 (1975), pp. 161-207. | Zbl | MR
[FH] - , Representation Theory, Grad. Texts in Math., 129, Springer-Verlag, New York (1991). | Zbl | MR
[G] , Capacités, mouvement Brownien et problème de l'épine de Lebesgue sur les groupes de Lie nilpotents, Lecture Notes in Math., 928 (1982), pp. 96-120. | Zbl | MR
[LU1] - , Asymptotic behavior and non-existence theorems for semilinear Dirichlet problems involving critical exponent on unbounded domains of the Heisenberg group, Boll. Un. Mat. Ital., (8), 1-B (1998), pp. 139-168. | Zbl | MR
[LU2] - , Non-existence results for semilinear Kohn-Laplace equations in unbounded domains, preprint. | Zbl | MR
[RS] - , Hypoelliptic differential operators and nilpotent groups, Acta Math., 137 (1977), pp. 247-320. | Zbl | MR
[S] , An elementary proof of Harnack's inequality for Schrödinger operators and related topics, Math. Z., 203 (1990), pp. 129-152. | Zbl | MR
[U1] , A non-existence theorem for a semilinear Dirichlet problem involving critical exponent on halfspaces of the Heisenberg group, NoDEA Nonlinear Differential Equations Appl., 6, n. 2 (1999). | Zbl | MR
[U2] , A note on Yamabe-type equations on the Heisenberg group, preprint. | Zbl | MR






