Positive multi-bubble solutions to the four-dimensional Brezis-Nirenberg problem exist near stable critical sets of the minimal eigenvalue of a Green's-function matrix, with concentration rates tied to that eigenvalue.
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Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions
Positive multi-bubble solutions to the four-dimensional Brezis-Nirenberg problem exist near stable critical sets of the minimal eigenvalue of a Green's-function matrix, with concentration rates tied to that eigenvalue.