Sharp estimates for bubbling solutions of a fourth order mean field equation
Chang-Shou Lin, Juncheng Wei (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We consider a sequence of multi-bubble solutions of the following fourth order equation where is a positive function, is a bounded and smooth domain in , and is a constant such that . We show that (after extracting a subsequence), for some positive integer , where is the area of the unit sphere in . Furthermore, we obtain the following sharp estimates for : where , and in . This yields a bound of solutions as...