Browsing by Author "Cortázar, C"
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- ItemOn an elliptic problem with boundary blow-up and a singular weight(2003) Chuaqui, M; Cortázar, C; Elgueta, M; Flores, C; Letelier, R; García-Melián, JIn this work we consider the non-autonomous problem Deltau = a(x)u(m) in the unit ball B subset of R-N, with the boundary condition u\(partial derivativeB) = +infinity, and m > 0. Assuming that a is a continuous radial function with a(x) similar to C-0 dist(x, partial derivativeB)(-gamma) as dist(x, partial derivativeB) --> 0, for some C-0 > 0, gamma > 0, we completely determine the issues of existence, multiplicity and behaviour near the boundary for radial positive solutions, in terms of the values of m and gamma. The case 0 < m less than or equal to 1, as well as estimates for solutions to the linear problem m = 1, are a significant part of our results.
- ItemOn the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian(2006) Cortázar, C; García-Huidobro, MWe consider the problem of uniqueness of radial ground state solutions to
- ItemThe problem of uniqueness of the limit in a semilinear heat equation(1999) Cortázar, C; de Pino, M; Elgueta, M
- ItemUniqueness and stability of regional blow-up in a porous-medium equation(2002) Cortázar, C; Del Pino, M; Elgueta, MWe study the blow-up phenomenon for the porous-medium equation in R-N, N greater than or equal to 1,