Asymptotics for the blow-up boundary solution of the logistic equation with absorption;Comportement asymptotique de la solution explosant au bord de l'équation logistique avec absorption

Comptes Rendus Mathematique

Volumn 336, Issue 3, 2003, Pages 231-236

  Cîrstea, Florica Corina ^a   Rǎdulescu, Vicenţiu ^b  

^a VICTORIA UNIVERSITY   (Australia)

^b UNIVERSITY OF CRAIOVA   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038729434     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00027-X     Document Type: Article

References (8)

1. F. Cîrstea, V. Rǎdulescu, Uniqueness of the blow-up boundary solution of logistic equations with absorption, C. R. Acad. Sci. Paris, Sér. I 335 (2002) 447-452.
2. F. Cîrstea, V. Rǎdulescu, Solutions with boundary blow-up for a class of nonlinear elliptic problems, Houston J. Math., in press.
3. F. Cîrstea, V. Rǎdulescu, Blow-up solutions of logistic equations with absorption: uniqueness and asymptotics, in preparation.
4. J. García-Melián, R. Letelier-Albornez, J. Sabina de Lis, Uniqueness and asymptotic behavior for solutions of semilinear problems with boundary blow-up, Proc. Amer. Math. Soc. 129 (2001) 3593-3602.
5. J. Karamata, Sur un mode de croissance régulière de fonctions. Théorèmes fondamentaux, Bull. Soc. Math. France 61 (1933) 55-62.
6. J.B. Keller, On solution of △u = f (u), Comm. Pure Appl. Math. 10 (1957) 503-510.
7. R. Osserman, On the inequality △u ≥ f (u), Pacific J. Math. 7 (1957) 1641-1647.
8. E. Seneta, Regularly Varying Functions, in: Lecture Notes in Math., Vol. 508, Springer-Verlag, Berlin, 1976.