Liouville theorems for Fuchsian-type operators on the Heisenberg group

DOI10.4171/ZAA/783zbMath0884.35045MaRDI QIDQ1368787

Maria Rosaria Lancia, Maria Vittoria Marchi

Publication date: 2 April 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

constant signunique positive local solution

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces ⋮ Attractors met \(X\)-elliptic operators ⋮ Maximum Principle, Nonhomogeneous Harnack Inequality, and Liouville Theorems forX-Elliptic Operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On isolated singularities of solutions of second order elliptic differential equations
• Liouville theorems for semilinear equations on the Heisenberg group
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• On positive Liouville theorems and asymptotic behavior of solutions of Fuchsian type elliptic operators
• A Saint-Venant type principle for Dirichlet forms on discontinuous media
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• POSITIVE SOLUTIONS OF SECOND ORDER ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS
• Harnack inequalities for fuchsian type weighted elliptic equations
• A fundamental solution for a subelliptic operator

This page was built for publication: Liouville theorems for Fuchsian-type operators on the Heisenberg group