Multispike solutions for the Brezis–Nirenberg problem in dimension three

Monica Musso, Dora Salazar

Research output: Contribution to journalArticle

2 Citations (Scopus)
13 Downloads (Pure)

Abstract

We consider the problem Δu+λu+u5=0, u>0, in a smooth bounded domain Ω in R3, under zero Dirichlet boundary conditions. We obtain solutions to this problem exhibiting multiple bubbling behavior at k different points of the domain as λ tends to a special positive value λ0, which we characterize in terms of the Green function of −Δ−λ.

Original languageEnglish
Pages (from-to)6663-6709
Number of pages47
JournalJournal of Differential Equations
Volume264
Issue number11
Early online date6 Feb 2018
DOIs
Publication statusPublished - 5 Jun 2018

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Three-dimension
Dirichlet Boundary Conditions
Green's function
Bounded Domain
Tend
Zero

ASJC Scopus subject areas

  • Analysis

Cite this

Multispike solutions for the Brezis–Nirenberg problem in dimension three. / Musso, Monica; Salazar, Dora.

In: Journal of Differential Equations, Vol. 264, No. 11, 05.06.2018, p. 6663-6709.

Research output: Contribution to journalArticle

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