artículo
Multipeak solutions to the Bahri-Coron problem in domains with a shrinking hole
Fecha
2009Registro en:
10.1016/j.jfa.2008.06.034
1096-0783
0022-1236
WOS:000261773300001
Autor
Clapp, Monica
Musso, Monica
Pistoia, Angela
Institución
Resumen
We construct positive and sign changing multipeak solutions to the Pure critical exponent problem in a bounded domain with a shrinking hole, having a peak which concentrates at some point inside the shrinking hole (i.e. outside the domain) and one or more peaks which concentrate at interior points of the domain. These are, to Our knowledge, the first multipeak solutions in a domain with a single small hole. (C) 2008 Elsevier Inc. All rights reserved.