A generalization of the asymptotic behavior of Palais-Smale sequences on a manifold with boundary

DOI10.1142/S0129167X18500696zbMath1401.35105OpenAlexW2885731034MaRDI QIDQ4962344

Hong Zhang

Publication date: 2 November 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x18500696

zbMATH Keywords

asymptotic behaviorblow-upRiemannian manifold with boundarymean curvature equationPalais-Smale sequences

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

A note on the Sobolev trace inequality

Cites Work

• The asymptotic behavior of Palais-Smale sequences on manifolds with boundary
• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• On the solutions to some elliptic equations with nonlinear Neumann boundary conditions
• Uniqueness theorems through the method of moving spheres
• Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate
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