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  1. Home
  2. Browse by Author

Browsing by Author "Cortazar, C"

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    A nonlocal diffusion equation whose solutions develop a free boundary
    (2005) Cortazar, C; Elgueta, M; Rossi, JD
    Let J : R -> R be a nonnegative, smooth compactly supported function such that integral(R) J(r)dr = 1. We consider the nonlocal diffusion problem
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    Short time behavior near the boundary for the heat equation with a nonlinear boundary condition
    (2002) Cortazar, C; Elgueta, M; Rossi, JD
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    Symmetry in an elliptic problem and the blow-up set of a quasilinear heat equation.
    (MARCEL DEKKER INC, 1996) Cortazar, C; Elgueta, M; Felmer, P
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    Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights
    (2004) Chuaqui, M; Cortazar, C; Elgueta, M; Garcia-Melian, J
    We 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.
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    Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary
    (1999) Cortazar, C; Elgueta, M; Rossi, JD
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    Uniqueness of positive solutions of Δu+f(u)=0 in RN, N≥3
    (1998) Cortazar, C; Elgueta, M; Felmer, P
    We study the uniqueness of radial ground states for the semilinear elliptic partial differential equation

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