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Positive solutions of some quasilinear singular second order equations
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we study the existence and uniqueness of positive solutions of boundary vlue problems for continuous semilinear perturbations, say f: [0, 1) × (0, ∞) → (0, ∞), of class of quasilinear operators which represent, for instance, the radial form of the Dirichlet problem on the unit ball of RN for the operators: p-Laplacian (1 < p < ∞) ad k-Hessian (1 ≤ k ≤ N). As a key feature, f (r, u) is possibly singular at r = 1 or u =0, Our approach exploits fixed point arguments and the Shooting Method.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 76 , Issue 1 , February 2004 , pp. 125 - 140
- Copyright
- Copyright © Australian Mathematical Society 2004
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