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The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds
Authors:Gilbert Weinstein  Lei Zhang  
Affiliation:aDepartment of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35205, United States;bDepartment of Mathematics, University of Florida, 358 Little Hall, Gainesville, FL 32611-8105, United States
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:Paneitz operator   Conformally invariant equations   Blowup analysis   Fourth order equation   Q-curvature
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