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Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola
- Authors
- Choi, Woocheol; Kim, Seunghyeok
- Issue Date
- Dec-2019
- Publisher
- ELSEVIER
- Keywords
- Lane-Emden system; Critical hyperbola; Non-convex domain; Exponent less than 1
- Citation
- JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v.132, pp.398 - 456
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
- Volume
- 132
- Start Page
- 398
- End Page
- 456
- ISSN
- 0021-7824
- Abstract
- We consider the Lane-Emden system {-Delta u = v(p) in Omega, -Delta v = u(q) in Omega, u, v > 0 in Omega, u = v = 0 on partial derivative Omega where 12 is a smooth bounded domain in R-n for n >= 3 and 0 < p < q < infinity. The asymptotic behavior of least energy solutions near the critical hyperbola was studied by Guerra [17] when p >= 1 and the domain is convex. In this paper, we cover all the remaining cases p < 1 and extend the results to arbitrary smooth bounded domains.
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Related Researcher
- Kim, Seung hyeok
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)