Abstract. We consider the supercritical Lane-Emden problem (P") v = jvjp"1v in A; u = 0 on @A where A is an annulus in R2m; m 2 and p" = (m+1)+2(m+1)2 ", " > 0: We prove the existence of positive and sign changing solutions of (P") concentrating and blowing-up, as " ! 0, on (m 1)dimensional spheres. Using a reduction method ([18, 14]) we transform problem (P") into a nonhomogeneous problem in an annulus D Rm+1 which
Bubble concentration on spheres for supercritical elliptic problems / Pacella, Filomena; Pistoia, Angela. - STAMPA. - 85:(2014), pp. 323-340.
Bubble concentration on spheres for supercritical elliptic problems
PACELLA, Filomena;PISTOIA, Angela
2014
Abstract
Abstract. We consider the supercritical Lane-Emden problem (P") v = jvjp"1v in A; u = 0 on @A where A is an annulus in R2m; m 2 and p" = (m+1)+2(m+1)2 ", " > 0: We prove the existence of positive and sign changing solutions of (P") concentrating and blowing-up, as " ! 0, on (m 1)dimensional spheres. Using a reduction method ([18, 14]) we transform problem (P") into a nonhomogeneous problem in an annulus D Rm+1 whichFile allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
