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Positive solutions for logistic type quasilinear elliptic equations on <f>RN</f>
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2004, Vol. 290 Issue 2, p469. 12p. - Publication Year :
- 2004
-
Abstract
- In this paper, we consider positive solutions of the logistic type <f>p</f>-Laplacian equation −Δpu=a(x)&z.sfnc;u&z.sfnc;p−2u−b(x)&z.sfnc;u&z.sfnc;q−1u, x∈RN (N&ges;2). We show that under rather general conditions on <f>a(x)</f> and <f>b(x)</f> for large <f>&z.sfnc;x&z.sfnc;</f>, the behavior of the positive solutions for large <f>&z.sfnc;x&z.sfnc;</f> can be determined. This is then used to show that there is a unique positive solution. Our results improve the corresponding ones in J. London Math. Soc. (2) 64 (2001) 107–124 and J. Anal. Math., in press. [Copyright &y& Elsevier]
- Subjects :
- *LAPLACIAN operator
*LOGISTICS
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 290
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 12037191
- Full Text :
- https://doi.org/10.1016/j.jmaa.2003.10.034