Some Liouville type results of Hessian equations

DOI10.1007/s11425-011-4273-yzbMath1234.35094OpenAlexW2006427031MaRDI QIDQ660008

Fei Han

Publication date: 24 January 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4273-y

zbMATH Keywords

integration by partsHessian equation on \(\mathbb{S}^n\)Liouville type

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) PDEs on manifolds (35R01)

Related Items (1)

Liouville type results of curvature operators of Fuchsian convex surfaces

Cites Work

• Unnamed Item
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Extension of some integral formulas of Chern
• The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation
• On the Christoffel-Minkowski problem of Firey's \(p\)-sum
• On the Hessian of a function and the curvature of its graph
• Eine kennzeichnende Eigenschaft der Affinsphären
• Über Kennzeichnungen der Kugeln und Affinsphären durch Herrn K.-P. Grotemeyer
• The Christofel‐Minkowski problem III: Existence and convexity of admissible solutions
• $p$-Means of Convex Bodies.

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