We consider the problem - Delta u = vertical bar u vertical bar(p-1-epsilon)u in Omega, u = 0 on Omega, where Omega is a bounded smooth domain in R-N symmetric with respect to x(1),... x(N), which contains the origin, N equivalent to >= 3, p = N+2/N-2 and epsilon is a positive parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up at the origin. These solutions have, as epsilon goes to zero, more and more annular-shaped nodal domains. (c) 2006 Elsevier Masson SAS. All fights reserved.
Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem / Pistoia, Angela; Tobias, Weth. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 24:2(2007), pp. 325-340. [10.1016/j.anihpc.2006.03.002]
Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem
PISTOIA, Angela;
2007
Abstract
We consider the problem - Delta u = vertical bar u vertical bar(p-1-epsilon)u in Omega, u = 0 on Omega, where Omega is a bounded smooth domain in R-N symmetric with respect to x(1),... x(N), which contains the origin, N equivalent to >= 3, p = N+2/N-2 and epsilon is a positive parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up at the origin. These solutions have, as epsilon goes to zero, more and more annular-shaped nodal domains. (c) 2006 Elsevier Masson SAS. All fights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
