Nodal cluster solutions for the Brezis-Nirenberg problem in dimensions ≥ 7

Monica Musso, Serena Rocci, Giusi Vaira

Research output: Contribution to journalArticlepeer-review


We show that the classical Brezis–Nirenberg problem (Formula presented.) admits nodal solutions clustering around a point on the boundary of Ω as ε→0, for smooth bounded domains Ω⊂R N in dimensions N≥7.

Original languageEnglish
Article number119
JournalCalculus of Variations and Partial Differential Equations
Issue number5
Early online date26 Apr 2024
Publication statusE-pub ahead of print - 26 Apr 2024

Data Availability Statement

All data generated or analysed during this study are included in this article.


  • 35B25
  • 35J47
  • 35Q55

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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