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Semilinear elliptic system with boundary singularity.
- Source :
- Discrete & Continuous Dynamical Systems: Series A; Apr2020, Vol. 40 Issue 4, p2189-2212, 24p
- Publication Year :
- 2020
-
Abstract
- In this paper, we investigate the asymptotic behavior of local solutions for the semilinear elliptic system −Δu = |u|<superscript>p−1</superscript>u with boundary isolated singularity, where 1 < p < n+2/n−2, n ≥ 2 and u is a C<superscript>2</superscript> nonnegative vector-valued function defined on the half space. This work generalizes the correspondence results of Bidaut-Véron-Ponce-Véron on the scalar case, and Ghergu-Kim-Shahgholian on the internal singularity case. [ABSTRACT FROM AUTHOR]
- Subjects :
- LETTERS
Subjects
Details
- Language :
- English
- ISSN :
- 10780947
- Volume :
- 40
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Discrete & Continuous Dynamical Systems: Series A
- Publication Type :
- Academic Journal
- Accession number :
- 141532967
- Full Text :
- https://doi.org/10.3934/dcds.2020111