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

Gilbert Weinstein; Lei Zhang

doi:10.1016/j.jfa.2009.09.006

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

Gilbert Weinstein, Lei Zhang

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We study a class of fourth order geometric equations defined on a 4-dimensional compact Riemannian manifold which includes the Q-curvature equation. We obtain sharp estimates on the difference near the blow-up points between a bubbling sequence of solutions and the standard bubble.

Original language	English
Pages (from-to)	3895-3929
Number of pages	35
Journal	Journal of Functional Analysis
Volume	257
Issue number	12
DOIs	https://doi.org/10.1016/j.jfa.2009.09.006
State	Published - 15 Dec 2009
Externally published	Yes

Keywords

Blowup analysis
Conformally invariant equations
Fourth order equation
Paneitz operator
Q-curvature

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10.1016/j.jfa.2009.09.006

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title = "The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds",

abstract = "We study a class of fourth order geometric equations defined on a 4-dimensional compact Riemannian manifold which includes the Q-curvature equation. We obtain sharp estimates on the difference near the blow-up points between a bubbling sequence of solutions and the standard bubble.",

keywords = "Blowup analysis, Conformally invariant equations, Fourth order equation, Paneitz operator, Q-curvature",

author = "Gilbert Weinstein and Lei Zhang",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (G. Weinstein), [email protected] (L. Zhang). 1 The author is supported by National Science Foundation Grant DMS-0600275 (0810902), and DMS-0900864.",

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AU - Weinstein, Gilbert

AU - Zhang, Lei

N1 - Funding Information: * Corresponding author. E-mail addresses: [email protected] (G. Weinstein), [email protected] (L. Zhang). 1 The author is supported by National Science Foundation Grant DMS-0600275 (0810902), and DMS-0900864.

PY - 2009/12/15

Y1 - 2009/12/15

N2 - We study a class of fourth order geometric equations defined on a 4-dimensional compact Riemannian manifold which includes the Q-curvature equation. We obtain sharp estimates on the difference near the blow-up points between a bubbling sequence of solutions and the standard bubble.

AB - We study a class of fourth order geometric equations defined on a 4-dimensional compact Riemannian manifold which includes the Q-curvature equation. We obtain sharp estimates on the difference near the blow-up points between a bubbling sequence of solutions and the standard bubble.

KW - Blowup analysis

KW - Conformally invariant equations

KW - Fourth order equation

KW - Paneitz operator

KW - Q-curvature

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EP - 3929

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 12

ER -

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

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Keywords

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