Effect of the Domain Geometry on the Solutions to Fractional Brezis-Nirenberg Problem
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-18
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
In this paper, we consider the Brezis-Nirenberg problem for the nonlocal fractional elliptic equation Aαux=NN-2αuxp+εux, x∈Ω, ux>0, x∈Ω, u(x)=0, x∈∂Ω, where 0<α<1 is fixed, p=N+2α/N-2α, ε is a small parameter, and Ω is a bounded smooth domain of RN(N≥4α).
Aα denotes the fractional Laplace operator defined through the spectral decomposition.
Under some geometry hypothesis on the domain Ω, we show that all solutions to this problem are least energy solutions.
American Psychological Association (APA)
Tian, Qiaoyu& Xu, Yonglin. 2019. Effect of the Domain Geometry on the Solutions to Fractional Brezis-Nirenberg Problem. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-4.
https://search.emarefa.net/detail/BIM-1174650
Modern Language Association (MLA)
Tian, Qiaoyu& Xu, Yonglin. Effect of the Domain Geometry on the Solutions to Fractional Brezis-Nirenberg Problem. Journal of Function Spaces No. 2019 (2019), pp.1-4.
https://search.emarefa.net/detail/BIM-1174650
American Medical Association (AMA)
Tian, Qiaoyu& Xu, Yonglin. Effect of the Domain Geometry on the Solutions to Fractional Brezis-Nirenberg Problem. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-4.
https://search.emarefa.net/detail/BIM-1174650
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174650