A PANEITZ-TYPE PROBLEM IN PIERCED DOMAINS

作者：Alarcon S^*; Pistoia A

来源：Differential and Integral Equations, 2015, 28(7-8): 823-838.

We study the critical problem
{ Delta(2)u = u (N+4/N-4) in Omega \ <(B(xi(0), epsilon))over bar>,
u > 0 in Omega \ <(B(xi(0), epsilon))over bar>,
u = Delta u=0 on partial derivative(Omega \ <(B(xi(0), epsilon)))over bar>,
where Omega is an open bounded domain in R-N, N >= 5, xi(0) is an element of Omega and B(xi(0), epsilon) is the ball centered at xi(0) with radius epsilon > 0 small enough. We construct solutions of (P-epsilon) blowing-up at the center of the hole as the size of the hole goes to zero.

• 出版日期2015-8