Singular boundary value problems of a porous media logistic equation
Delgado, Manuel ; López-Gómez, Julián ; Suárez, Antonio
Hiroshima Math. J., Tome 34 (2004) no. 1, p. 57-80 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2004-03-14
Classification:  35J60,  35B40,  35J65 
@article{1150998071,
     author = {Delgado, Manuel and L\'opez-G\'omez, Juli\'an and Su\'arez, Antonio},
     title = {Singular boundary value problems of a porous media logistic equation},
     journal = {Hiroshima Math. J.},
     volume = {34},
     number = {1},
     year = {2004},
     pages = { 57-80},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1150998071}
}

Delgado, Manuel; López-Gómez, Julián; Suárez, Antonio. Singular boundary value problems of a porous media logistic equation. Hiroshima Math. J., Tome 34 (2004) no. 1, pp.  57-80. http://gdmltest.u-ga.fr/item/1150998071/