Near one trace bubble, the Euler-Lagrange residual controls the L^p-gradient distance with sharp power max{1,p-1}, and a Struwe-type compactness decomposition holds.
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Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality
Near one trace bubble, the Euler-Lagrange residual controls the L^p-gradient distance with sharp power max{1,p-1}, and a Struwe-type compactness decomposition holds.