Browsing by Author "Elgueta, M"
Now showing 1 - 9 of 9
Results Per Page
Sort Options
- ItemA nonlocal diffusion equation whose solutions develop a free boundary(2005) Cortazar, C; Elgueta, M; Rossi, JDLet J : R -> R be a nonnegative, smooth compactly supported function such that integral(R) J(r)dr = 1. We consider the nonlocal diffusion problem
- 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.
- ItemShort time behavior near the boundary for the heat equation with a nonlinear boundary condition(2002) Cortazar, C; Elgueta, M; Rossi, JD
- ItemSymmetry in an elliptic problem and the blow-up set of a quasilinear heat equation.(MARCEL DEKKER INC, 1996) Cortazar, C; Elgueta, M; Felmer, P
- ItemThe problem of uniqueness of the limit in a semilinear heat equation(1999) Cortázar, C; de Pino, M; Elgueta, M
- ItemUniqueness and boundary behavior of large solutions to elliptic problems with singular weights(2004) Chuaqui, M; Cortazar, C; Elgueta, M; Garcia-Melian, JWe consider the elliptic problems Deltau = a(x)u(m), m > 1, and Deltau = a(x)e(u) in a smooth bounded domain Omega, with the boundary condition u = +infinity on partial derivativeOmega. The weight function a(x) is assumed to be Holder continuous, growing like a negative power of d(x) = dist(x, partial derivativeOmega) near partial derivativeOmega. We show existence and nonexistence results, uniqueness and asymptotic estimates near the boundary for both the solutions and their normal derivatives.
- ItemUniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary(1999) Cortazar, C; Elgueta, M; Rossi, JD
- 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,
- ItemUniqueness of positive solutions of Δu+f(u)=0 in RN, N≥3(1998) Cortazar, C; Elgueta, M; Felmer, PWe study the uniqueness of radial ground states for the semilinear elliptic partial differential equation