Data di Pubblicazione:
2016
Citazione:
Sign-changing tower of bubbles for the Brezis-Nirenberg problem / A. Iacopetti, V. Giusi. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 18:1(2016 Feb), pp. 1550036.1-1550036.53. [10.1142/S0219199715500364]
Abstract:
In this paper, we prove that the Brezis-Nirenberg problem −∆u=|u|^{p−1}u+εu in Ω, u=0 on ∂Ω,
where Ω is a symmetric bounded smooth domain in R^N , N ≥ 7 and p = {N+2}/{N-2} , has a solution with the shape of a tower of two bubbles with alternate signs, centered at the center of symmetry of the domain, for all ε > 0 sufficiently small.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Semilinear elliptic equations, blowing-up solution, tower of bubbles.
Elenco autori:
A. Iacopetti, G. Vaira
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