We consider the problem Delta u + u(4/n-2) u = 0 in Omega(epsilon), u = 0 on partial derivative Omega(epsilon), where Omega(epsilon) := Omega B (0, epsilon) and Omega is a bounded smooth domain in R(N), which contains the origin and is symmetric with respect to the origin, N >= 3 and epsilon is a positive parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up at the origin. (C) 2006 Elsevier Masson SAS. All rights reserved.
Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains / Monica, Musso; Pistoia, Angela. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - STAMPA. - 86:6(2006), pp. 510-528. [10.1016/j.matpur.2006.10.006]
Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains
PISTOIA, Angela
2006
Abstract
We consider the problem Delta u + u(4/n-2) u = 0 in Omega(epsilon), u = 0 on partial derivative Omega(epsilon), where Omega(epsilon) := Omega B (0, epsilon) and Omega is a bounded smooth domain in R(N), which contains the origin and is symmetric with respect to the origin, N >= 3 and epsilon is a positive parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up at the origin. (C) 2006 Elsevier Masson SAS. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
