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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 language | English |
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Article number | 119 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 63 |
Issue number | 5 |
Early online date | 26 Apr 2024 |
DOIs | |
Publication status | Published - 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.
Funders | Funder number |
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Università degli Studi di Bari Aldo Moro | |
Engineering and Physical Sciences Research Council | EP/T008458/1 |
Keywords
- 35B25
- 35J47
- 35Q55
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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Dive into the research topics of 'Nodal cluster solutions for the Brezis-Nirenberg problem in dimensions N ≥ 7'. Together they form a unique fingerprint.Projects
- 1 Finished
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Concentration phenomena in nonlinear analysis
Musso, M. (PI)
Engineering and Physical Sciences Research Council
27/04/20 → 31/07/24
Project: Research council