We study the existence of sign-changing solutions with multiple bubbles to the slightly subcritical problem -Delta u = vertical bar u vertical bar(2*-2-epsilon)u in ohm, u = 0 on partial derivative ohm, where ohm is a smooth bounded domain in R-N, N >= 3, 2* = 2N/N-2 and epsilon > 0 is a small parameter. In particular we prove that if ohm is convex and satisfies a certain symmetry, then a nodal four-bubble solution exists with two positive and two negative bubbles. (C) 2013 Elsevier Masson SAS. All rights reserved.
Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries / Thomas, Bartsch; T., D'Aprile; Pistoia, Angela. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 30:6(2013), pp. 1027-1047. [10.1016/j.anihpc.2013.01.001]
Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries
PISTOIA, Angela
2013
Abstract
We study the existence of sign-changing solutions with multiple bubbles to the slightly subcritical problem -Delta u = vertical bar u vertical bar(2*-2-epsilon)u in ohm, u = 0 on partial derivative ohm, where ohm is a smooth bounded domain in R-N, N >= 3, 2* = 2N/N-2 and epsilon > 0 is a small parameter. In particular we prove that if ohm is convex and satisfies a certain symmetry, then a nodal four-bubble solution exists with two positive and two negative bubbles. (C) 2013 Elsevier Masson SAS. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
