Liouville Theorems for Fuchsian-Type Operators on the Heisenberg Group

  • Maria Rosaria Lancia

    Università di Roma La Sapienza, Italy
  • Maria Vittoria Marchi

    Università di Roma La Sapienza, Italy

Abstract

We prove some Liouville theorems for a degenerate elliptic operator whose principal part is given in divergence form with respect to the Heisenberg vector fields and lower terms satisfy Fuchsian-type conditions with respect to the intrinsic norm.

Cite this article

Maria Rosaria Lancia, Maria Vittoria Marchi, Liouville Theorems for Fuchsian-Type Operators on the Heisenberg Group. Z. Anal. Anwend. 16 (1997), no. 3, pp. 653–668

DOI 10.4171/ZAA/783