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

Monica Musso, Serena Rocci, Giusi Vaira

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume63
Issue number5
Early online date26 Apr 2024
DOIs
Publication statusPublished - 30 Jun 2024

Data Availability Statement

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

Funding

Open access funding provided by Universit\u00E0 degli Studi di Bari Aldo Moro within the CRUI-CARE Agreement. The authors would like to express their gratitude to Angela Pistoia for many interesting discussions around this topic. M. Musso has been supported by EPSRC research Grant EP/T008458/1 while G. Vaira has been supported by Gnampa project \"Propriet\u00E0 qualitative delle soluzioni di equazioni ellittiche\" and S. Rocci has been partially supported by Gnampa-Indam.

FundersFunder number
Università degli Studi di Bari Aldo Moro
Engineering and Physical Sciences Research CouncilEP/T008458/1

Keywords

  • 35B25
  • 35J47
  • 35Q55

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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