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

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

17 ציטוטים ‏(Scopus)

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	3895-3929
מספר עמודים	35
כתב עת	Journal of Functional Analysis
כרך	257
מספר גיליון	12
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1016/j.jfa.2009.09.006
סטטוס פרסום	פורסם - 15 דצמ׳ 2009
פורסם באופן חיצוני	כן

גישה למסמך

10.1016/j.jfa.2009.09.006

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

@article{da887e9aa8b04df9982eebc3acf32d9c,

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.",

year = "2009",

month = dec,

day = "15",

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

language = "אנגלית",

volume = "257",

pages = "3895--3929",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "12",

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TY - JOUR

T1 - The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds

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

UR - https://www.scopus.com/pages/publications/70350194741

U2 - 10.1016/j.jfa.2009.09.006

DO - 10.1016/j.jfa.2009.09.006

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AN - SCOPUS:70350194741

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

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