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 › Research › peer-review

17 Citations (Scopus)

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
Publication status	Published - 2009
Externally published	Yes

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10.1016/j.jfa.2009.09.006

Cite this

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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",

author = "Gilbert Weinstein and Lei Zhang",

year = "2009",

doi = "10.1016/j.jfa.2009.09.006",

language = "English",

volume = "257",

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journal = "Journal of Functional Analysis",

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AU - Weinstein, Gilbert

AU - Zhang, Lei

PY - 2009

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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

UR - http://arxiv.org/PS_cache/arxiv/pdf/0810/0810.4879v1.pdf

U2 - 10.1016/j.jfa.2009.09.006

DO - 10.1016/j.jfa.2009.09.006

M3 - Article

SN - 0022-1236

VL - 257

SP - 3895

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

Abstract

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