Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups

Francesco Uguzzoni

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 102, page 51-65
  • ISSN: 0041-8994

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Uguzzoni, Francesco. "Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups." Rendiconti del Seminario Matematico della Università di Padova 102 (1999): 51-65. <http://eudml.org/doc/108511>.

@article{Uguzzoni1999,
author = {Uguzzoni, Francesco},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Schrödinger inequalities; nilpotent Lie groups; asymptotic behavior},
language = {eng},
pages = {51-65},
publisher = {Seminario Matematico of the University of Padua},
title = {Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups},
url = {http://eudml.org/doc/108511},
volume = {102},
year = {1999},
}

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
PB - Seminario Matematico of the University of Padua
VL - 102
SP - 51
EP - 65
LA - eng
KW - Schrödinger inequalities; nilpotent Lie groups; asymptotic behavior
UR - http://eudml.org/doc/108511
ER -

References

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  2. [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. Zbl0795.35018MR1221840
  3. [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. Zbl0903.58048MR1472512
  4. [F] G.B. Folland, Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat., 13 (1975), pp. 161-207. Zbl0312.35026MR494315
  5. [FH] W. Fulton - J. Harris, Representation Theory, Grad. Texts in Math., 129, Springer-Verlag, New York (1991). Zbl0744.22001MR1153249
  6. [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. Zbl0483.60072MR669065
  7. [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. Zbl0902.22006MR1618972
  8. [LU2] E. Lanconelli - F. Uguzzoni, Non-existence results for semilinear Kohn-Laplace equations in unbounded domains, preprint. Zbl1158.35340MR1778777
  9. [RS] L.P. Rothschild - E.M. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math., 137 (1977), pp. 247-320. Zbl0346.35030MR436223
  10. [S] C.G. Simader, An elementary proof of Harnack's inequality for Schrödinger operators and related topics, Math. Z., 203 (1990), pp. 129-152. Zbl0697.35017MR1030712
  11. [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). Zbl0961.35054MR1694791
  12. [U2] F. Uguzzoni, A note on Yamabe-type equations on the Heisenberg group, preprint. Zbl0972.35021MR1753393

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