Compactness and global estimates for the geometric Paneitz equation in high dimensions

DOI10.1090/S1079-6762-04-00138-6zbMath1068.58017MaRDI QIDQ4681002

Emmanuel Hebey, Frédéric Robert

Publication date: 14 June 2005

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231305

zbMATH Keywords

compactnessblow-up behaviorPaneitz operator

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

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Cites Work

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• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients