Conformal metrics with constant \(Q\)-curvature for manifolds with boundary

DOI10.4310/CAG.2008.v16.n5.a6zbMath1163.53324arXiv0705.1687OpenAlexW2018242572MaRDI QIDQ1011997

Cheikh Birahim Ndiaye

Publication date: 14 April 2009

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1687

zbMATH Keywords

min-max methodsEuler-Lagrange functionalfourth-order non-linear elliptic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (10)

Prescribed \(Q\)-curvature flow on \(S^n\) ⋮ \(Q\)-curvature flow on 4-manifolds with boundary ⋮ Renormalized volumes with boundary ⋮ Conformal geometry of embedded manifolds with boundary from universal holographic formulæ ⋮ Extrinsic curvature and conformal Gauss-Bonnet for four-manifolds with corner ⋮ A general existence result for stationary solutions to the Keller-Segel system ⋮ Conformal boundary operators, \(T\)-curvatures, and conformal fractional Laplacians of odd order ⋮ Constant \(Q\)-curvature metrics near the hyperbolic metric ⋮ Algebraic topological methods for the supercritical \(Q\)-curvature problem ⋮ Prescribing the Gaussian curvature in a subdomain of \(\mathbb {S}^2\) with Neumann boundary condition

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