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.
@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},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {102},
     year = {1999},
     mrnumber = {1739532},
     zbl = {0943.22008},
     language = {en},
     url = {http://archive.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  - http://archive.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 http://archive.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. http://archive.numdam.org/item/RSMUP_1999__102__51_0/

[BCC] I. Birindelli - I. Capuzzo Dolcetta - A. Cutrì, Liouville theorems for semilinear equations on the Heisenberg group, Ann. Inst. H. Poincaré Anal. Non Linéaire, 14 (1997), pp. 295-308. | Numdam | MR | Zbl

[CGL] G. Citti - N. Garofalo - E. Lanconelli, Harnack's inequality for sum of squares of vector fields plus a potential, Amer. J. Math., 115 (1993), pp. 699-734. | MR | Zbl

[DG] D. Danielli - N. Garofalo, 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. | MR | Zbl

[F] G.B. Folland, Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat., 13 (1975), pp. 161-207. | MR | Zbl

[FH] W. Fulton - J. Harris, Representation Theory, Grad. Texts in Math., 129, Springer-Verlag, New York (1991). | MR | Zbl

[G] L. Gallardo, 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. | MR | Zbl

[LU1] 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., (8), 1-B (1998), pp. 139-168. | MR | Zbl

[LU2] E. Lanconelli - F. Uguzzoni, Non-existence results for semilinear Kohn-Laplace equations in unbounded domains, preprint. | MR | Zbl

[RS] L.P. Rothschild - E.M. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math., 137 (1977), pp. 247-320. | MR | Zbl

[S] C.G. Simader, An elementary proof of Harnack's inequality for Schrödinger operators and related topics, Math. Z., 203 (1990), pp. 129-152. | MR | Zbl

[U1] F. Uguzzoni, 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). | MR | Zbl

[U2] F. Uguzzoni, A note on Yamabe-type equations on the Heisenberg group, preprint. | MR | Zbl