Multiple blowing-up solutions to critical elliptic systems in bounded domains
- Authors
- Kim, Seunghyeok; Pistoia, Angela
- Issue Date
- Jul-2021
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Lane-Emden systems; Brezis-Nirenberg problem; Critical hyperbola; Multiple blowing-up solution
- Citation
- JOURNAL OF FUNCTIONAL ANALYSIS, v.281, no.2, pp.1 - 58
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF FUNCTIONAL ANALYSIS
- Volume
- 281
- Number
- 2
- Start Page
- 1
- End Page
- 58
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/141569
- DOI
- 10.1016/j.jfa.2021.109023
- ISSN
- 0022-1236
- Abstract
- We construct families of blowing-up solutions to elliptic systems on smooth bounded domains in the Euclidean space, which are variants of the critical Lane-Emden system and analogous to the Brezis-Nirenberg problem. We find a function which governs blowing-up points and rates, observing that it reflects the strong nonlinear characteristic of the system. By using it, we also prove that a single blowing-up solution exists in general domains, and construct examples of contractible domains where multiple blowing-up solutions are allowed to exist. We believe that a variety of new ideas and arguments developed here will help to analyze blowing-up phenomena in related Hamiltonian-type systems.
- Files in This Item
-
Go to Link
- Appears in
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.