We consider the problem Formula is presented, where Ω and ω are smooth bounded domains in RN, N >3, ε > 0 and λ ∈ R. We prove that if the size of the hole ε goes to zero and if, simultaneously, the parameter λ goes to zero at the appropriate rate, then the problem has a solution which blows up at the origin.
Persistence of Coron's solution in nearly critical problems / Musso, M; Pistoia, Angela. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - STAMPA. - 6:(2007), pp. 1-27.
Persistence of Coron's solution in nearly critical problems
PISTOIA, Angela
2007
Abstract
We consider the problem Formula is presented, where Ω and ω are smooth bounded domains in RN, N >3, ε > 0 and λ ∈ R. We prove that if the size of the hole ε goes to zero and if, simultaneously, the parameter λ goes to zero at the appropriate rate, then the problem has a solution which blows up at the origin.File allegati a questo prodotto
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