Persistence of Coron’s solution in nearly critical problems
Monica Musso, Angela Pistoia (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We consider the problem where and are smooth bounded domains in , , and We prove that if the size of the hole goes to zero and if, simultaneously, the parameter goes to zero at the appropriate rate, then the problem has a solution which blows up at the origin.