Double ball property for non-divergence horizontally elliptic operators on step two Carnot groups

DOI10.4171/RLM/632zbMath1257.35190MaRDI QIDQ1932672

Giulio Tralli

Publication date: 21 January 2013

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

degenerate elliptic equationdouble ball propertyinvariant Harnack inequality

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (4)

On the Hopf-Oleinik lemma for degenerate-elliptic equations at characteristic points ⋮ Harnack inequality for a subelliptic PDE in nondivergence form ⋮ Harnack’s inequality for a class of non-divergent equations in the Heisenberg group ⋮ On the lack of semiconcavity of the subRiemannian distance in a class of Carnot groups

Cites Work

• Unnamed Item
• Weak solutions for the Levi equation and envelope of holomorphy
• Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature
• Geometric properties of solutions of the Levi-equation
• Pseudoconvex fully nonlinear partial differential operators: strong comparison theorems
• Covering theorems, inequalities on metric spaces and applications to PDE's
• Existence and uniqueness of Lipschitz continuous graphs with prescribed Levi curvature
• Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• The Levi Equation in Higher Dimensions and Relationships to the Envelope of Holomorphy

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