抄録
The degenerate elliptic equation λΔpu + uq–1(1 – ur) = 0 with zero Dirichlet boundary condition, where λ is a positive parameter, 2 p q and r 0, is studied in three aspects: existence of maximal solution, λ dependence of maximal solution and multiplicity of solutions.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 433-441 |
| ページ数 | 9 |
| ジャーナル | Proceedings of the American Mathematical Society |
| 巻 | 129 |
| 発行部数 | 2 |
| DOI | |
| 出版物ステータス | Published - 2000 |
| 外部発表 | Yes |
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ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
これを引用
Positive solutions of a degenerate elliptic equation with logistic reaction. / Takeuchi, Shingo.
：: Proceedings of the American Mathematical Society, 巻 129, 番号 2, 2000, p. 433-441.研究成果: Article
}
TY - JOUR
T1 - Positive solutions of a degenerate elliptic equation with logistic reaction
AU - Takeuchi, Shingo
PY - 2000
Y1 - 2000
N2 - The degenerate elliptic equation λΔpu + uq–1(1 – ur) = 0 with zero Dirichlet boundary condition, where λ is a positive parameter, 2 p q and r 0, is studied in three aspects: existence of maximal solution, λ dependence of maximal solution and multiplicity of solutions.
AB - The degenerate elliptic equation λΔpu + uq–1(1 – ur) = 0 with zero Dirichlet boundary condition, where λ is a positive parameter, 2 p q and r 0, is studied in three aspects: existence of maximal solution, λ dependence of maximal solution and multiplicity of solutions.
KW - At core
KW - At hat
KW - Degenerate elliptic equation
KW - Multiple solutions
KW - P-Laplace operator
UR - http://www.scopus.com/inward/record.url?scp=85009726553&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85009726553&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-00-05723-3
DO - 10.1090/S0002-9939-00-05723-3
M3 - Article
AN - SCOPUS:85009726553
VL - 129
SP - 433
EP - 441
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 2
ER -