A Palais-Smale sequence for the mixed local-nonlocal critical problem decomposes into a weak limit and classical Sobolev bubbles, yielding a Coron-type existence theorem for large dimensions.
Fractional Hardy-Sobolev equa- tions with nonhomogeneous terms
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Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator
A Palais-Smale sequence for the mixed local-nonlocal critical problem decomposes into a weak limit and classical Sobolev bubbles, yielding a Coron-type existence theorem for large dimensions.