Browsing by Author "Garcia-Melian, J"

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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.