The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds

DOI10.1016/j.jfa.2009.09.006zbMath1182.53036arXiv0810.4879OpenAlexW2053528893MaRDI QIDQ1044526

Gilbert Weinstein, Lei Zhang

Publication date: 18 December 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.4879

zbMATH Keywords

Paneitz operator\(Q\)-curvaturefourth order equationconformally invariant equationsblowup analysis

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

Normal conformal metrics on \(\mathbb{R}^4\) with singular \(Q\)-curvature having power-like growth ⋮ Classification and a priori estimates for the singular prescribing \(Q\)-curvature equation on 4-manifold ⋮ The Nirenberg problem and its generalizations: a unified approach ⋮ Topological methods for the resonant \(Q\)-curvature problem in arbitrary even dimension ⋮ Bubbling solutions of fourth order mean field equations on \(\mathbb{S}^4\) ⋮ Optimal control for the Paneitz obstacle problem ⋮ The \(Q\)-curvature on a 4-dimensional Riemannian manifold \((M,g)\) with \(\int_M QdV_g = 8\pi^2\) ⋮ Compactness of conformal metrics with constant \(Q\)-curvature. I ⋮ Algebraic topological methods for the supercritical \(Q\)-curvature problem

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