artículo
Sign changing solutions to a Bahri-Coron's problem in pierced domains
Fecha
2008Registro en:
1553-5231
1078-0947
WOS:000254122300015
Autor
Musso, Monica
Pistoia, Angela
Institución
Resumen
We consider the problem {-Delta u = vertical bar u vertical bar(4/N-2u) in Omega/{B(xi(1),epsilon) boolean OR B(xi(2),epsilon)}, u = 0 on partial derivative(Omega\{B(xi(1),epsilon) boolean OR B(xi(2),epsilon)}, where Omega is a smooth bounded domain in R-N, N >= 3, xi(1), xi(2) are different points in Omega and epsilon is a small positive parameter. We show that, for epsilon small enough, the equation has at least one pair of sign changing solutions, whose positive and negative parts concentrate at xi(1) and xi(2) as epsilon goes to zero.