Conformal scalar curvature equation on Sn: Functions with two close critical points (Twin Pseudo-Peaks)

DOI10.1142/S0219199717500511zbMath1395.35091arXiv1701.06277MaRDI QIDQ3177289

Feng Zhou, Man-Chun Leung

Publication date: 30 July 2018

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06277

zbMATH Keywords

Sobolev spacesblow-upcritical pointsscalar curvature equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Prescribing Morse scalar curvatures ⋮ Refined estimates for simple blow-ups of the scalar curvature equation on $S^n$ ⋮ Prescribing Morse Scalar Curvatures: Pinching and Morse Theory ⋮ Perturbative techniques in conformal geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the prescribed scalar curvature problem on \(S^n\): the degree zero case
• The Webster scalar curvature flow on CR sphere. I
• Elliptic functions, Green functions and the mean field equations on tori
• On the prescribed Q-curvature problem on \(S^n\)
• The scalar curvature flow on \(S ^{n }\)-perturbation theorem revisited
• Gaussian curvature and conformal mapping
• Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
• Construction of blow-up sequences for the prescribed scalar curvature equation on \(S^n\). III: Aggregated and towering blow-ups
• Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
• A compactness theorem for the Yamabe problem
• Blow-up phenomena for the Yamabe equation. II
• Conformal deformation of a Riemannian metric to constant scalar curvature
• A perturbation result in prescribing scalar curvature on \(S^ n\)
• Remarks on the Schrödinger operator with singular complex potentials
• Estimate of the conformal scalar curvature equation via the method of moving planes. II
• Blow-up solutions of nonlinear elliptic equations in \(\mathbb{R}^n\) with critical exponent
• Two-bubble solutions in the super-critical Bahri-Coron's problem
• Concentration of solutions for the scalar curvature equation on \(\mathbb{R}^n\)
• A note on the Kazdan-Warner type condition
• On the scalar curvature equation \(-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}\) in \({\mathbb R}^N\)
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• The scalar curvature equation on \(\mathbb{R}^ n\) and \(S^ n\)
• Construction of blow-up sequences for the prescribed scalar curvature equation on \(S^n\). II: Annular domains
• The conjectures on conformal transformations of Riemannian manifolds
• Exploring the Unknown: The Work of Louis Nirenberg on Partial Differential Equations
• Blow-up phenomena for the Yamabe equation
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Conformal scalar curvature equations on complete manifolds
• Estimates of the conformal scalar curvature equation via the method of moving planes
• Non-existence and symmetry of solutions to the scalar curvature equation
• Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
• Another proof of the Yamabe conjecture for locally conformally flat manifolds
• CONSTRUCTION OF BLOW-UP SEQUENCES FOR THE PRESCRIBED SCALAR CURVATURE EQUATION ON Sⁿ I: UNIFORM CANCELLATION
• Prescribed scalar curvature equation on $S^n$ in the presence of reflection or rotation symmetry

This page was built for publication: Conformal scalar curvature equation on Sn: Functions with two close critical points (Twin Pseudo-Peaks)