Asymptotic analysis for fourth order Paneitz equations with critical growth

DOI10.1515/ACV.2011.001zbMath1251.58005arXiv1103.0655MaRDI QIDQ3086996

Emmanuel Hebey, Frédéric Robert

Publication date: 1 August 2011

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0655

zbMATH Keywords

stabilitycompactness\(Q\)-curvatureYamabe equationcritical equationsPaneitz equations

Mathematics Subject Classification ID

Related Items (11)

Q-Curvature on a Class of Manifolds with Dimension at Least 5 ⋮ Existence of conformal metrics with prescribed Q-curvature ⋮ The Nirenberg problem and its generalizations: a unified approach ⋮ Schrödinger-Poisson systems in the 3-sphere ⋮ Compactness of conformal metrics with constant \(Q\)-curvature. I ⋮ Non-stability of Paneitz-Branson type equations in arbitrary dimensions ⋮ The Lin-Ni’s problem for mean convex domains ⋮ A Paneitz-Branson type equation with Neumann boundary conditions ⋮ Hardy-Sobolev equations with asymptotically vanishing singularity: blow-up analysis for the minimal energy ⋮ A pointwise finite-dimensional reduction method for a fully coupled system of Einstein–Lichnerowicz type ⋮ SOME REMARKS ON THE CURVATURE TYPE PROBLEM ON

Cites Work

• The cubic fourth-order Schrödinger equation
• Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal Laplacian
• On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
• Explicit Functional Determinants in Four Dimensions
• COMPACTNESS AND GLOBAL ESTIMATES FOR A FOURTH ORDER EQUATION OF CRITICAL SOBOLEV GROWTH ARISING FROM CONFORMAL GEOMETRY

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