Uniform decay estimates for solutions of the Yamabe equation

DOI10.1007/S10711-011-9575-2zbMath1251.53023OpenAlexW2019561140MaRDI QIDQ715254

Giona Veronelli

Publication date: 2 November 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-011-9575-2

zbMATH Keywords

Yamabe problemnonlinear elliptic partial differential equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Uniform decay estimates for finite-energy solutions of semi-linear elliptic inequalities and geometric applications
• The Yamabe problem and applications on noncompact complete Riemannian manifolds
• Finite energy solutions to the Yamabe equation
• On complete hypersurfaces with constant mean curvature and finite \(L^p\)-norm curvature in \(\mathbb R^{n+1}\)
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• Asymptotic behavior of positive solutions of the equation complete riemannian manifold and positive scalar curvature

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