Open Access
March 2004 Singular boundary value problems of a porous media logistic equation
Manuel Delgado, Julián López-Gómez, Antonio Suárez
Hiroshima Math. J. 34(1): 57-80 (March 2004). DOI: 10.32917/hmj/1150998071

Abstract

In this paper we characterize the existence of large solutions for a general class of porous medium logistic equations in the presence of a vanishing carrying capacity. The decay rate of the carrying capacity at the boundary of the underlying domain determines the exact blow-up rate of the large solutions. Its explicit knowledge allows us to obtain a general uniqueness result.

Citation

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Manuel Delgado. Julián López-Gómez. Antonio Suárez. "Singular boundary value problems of a porous media logistic equation." Hiroshima Math. J. 34 (1) 57 - 80, March 2004. https://doi.org/10.32917/hmj/1150998071

Information

Published: March 2004
First available in Project Euclid: 22 June 2006

zbMATH: 1112.35065
MathSciNet: MR2046453
Digital Object Identifier: 10.32917/hmj/1150998071

Subjects:
Primary: 35J60
Secondary: 35B40 , 35J65

Rights: Copyright © 2004 Hiroshima University, Mathematics Program

Vol.34 • No. 1 • March 2004
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