Conformal metrics on \(\mathbb R^{2m}\) with constant \(Q\)-curvature and large volume

DOI10.1016/j.anihpc.2012.12.007zbMath1286.53018arXiv1202.1222OpenAlexW3100735318MaRDI QIDQ2446362

Luca Martinazzi

Publication date: 16 April 2014

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1222

zbMATH Keywords

conformal geometry\(Q\)-curvaturePaneitz operatorsEuclidian spaceGMJS operators

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Related Items (17)

Normal conformal metrics on \(\mathbb{R}^4\) with \(Q\)-curvature having power-like growth ⋮ Local and Nonlocal Singular Liouville Equations in Euclidean Spaces ⋮ Classification of solutions to a system of \(n^{\mathrm{th}}\) order equations on \(\mathbb{R}^n\) ⋮ Existence and asymptotic behavior of non-normal conformal metrics on ℝ4 with sign-changing Q-curvature ⋮ Singular metrics of constant negative \(Q\)-curvature in Euclidean spaces ⋮ Nonradial singular metrics of constant \(Q\)-curvature ⋮ Solutions of Liouville equations with non-trivial profile in dimensions 2 and 4 ⋮ Conformal metrics on \(\mathbb{R}^{2m}\) with constant \(Q\)-curvature, prescribed volume and asymptotic behavior ⋮ Nonexistence of solutions to singular Q-curvature equations ⋮ Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in high dimension ⋮ Conformally Euclidean metrics on \(\mathbb{R}^n\) with arbitrary total Q-curvature ⋮ Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three ⋮ Conformal metrics in \(\mathbb {R}^{2m}\) with constant \(Q\)-curvature and arbitrary volume ⋮ Higher order conformally invariant equations in \( \mathbb{R}^3 \) with prescribed volume ⋮ Concentration phenomena to a higher order Liouville equation ⋮ Non-radial solutions to a bi-harmonic equation with negative exponent ⋮ Constant 𝑄-curvature metrics with a singularity

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