Establishes quantitative stability for HLS critical points and Palais-Smale sequences via a tailored weak-decomposition method, plus a duality framework yielding Struwe-type results for fractional Sobolev inequalities without nonnegativity.
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Stability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework
Establishes quantitative stability for HLS critical points and Palais-Smale sequences via a tailored weak-decomposition method, plus a duality framework yielding Struwe-type results for fractional Sobolev inequalities without nonnegativity.