For high-order critical equations on manifolds, the paper obtains a universal pointwise blow-up bound and uses it to prove nonexistence of single-bubble concentration under trace or mass conditions.
Atkinson and Lambertus A
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Localization of bubbling for high order nonlinear equations
For high-order critical equations on manifolds, the paper obtains a universal pointwise blow-up bound and uses it to prove nonexistence of single-bubble concentration under trace or mass conditions.