On some conformally invariant fully nonlinear equations

DOI10.1016/S1631-073X(02)02264-1zbMath0998.58011MaRDI QIDQ1598458

Aobing Li, Yan-yan Li

Publication date: 26 November 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

existenceLiouville type theoremscompactness of solutionsHarnack type inequalitieslocally conformally flat Riemannian manifoldsnonlinear elliptic equations of second order

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05)

Related Items (8)

Some properties of the Schouten tensor and applications to conformal geometry ⋮ Volume comparison and the \(\sigma_k\)-Yamabe problem ⋮ Removability of singularities for a class of fully nonlinear elliptic equations ⋮ A fully nonlinear version of the Yamabe problem and a Harnack type inequality. ⋮ Harnack type inequalities for conformal scalar curvature equation ⋮ On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe ⋮ On some conformally invariant fully nonlinear equations ⋮ Singular sets of a class of locally conformally flat manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Conformal deformation of a Riemannian metric to constant scalar curvature
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Symmetry and related properties via the maximum principle
• On some conformally invariant fully nonlinear equations
• An a priori estimate for a fully nonlinear equation on four-manifolds.
• Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds
• An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
• Hessian measures. II
• Conformal geometry, contact geometry, and the calculus of variations
• The conjectures on conformal transformations of Riemannian manifolds
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Some existence results for fully nonlinear elliptic equations of monge-ampère type
• Conformally invariant Monge-Ampère equations: Global solutions

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