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Problems for elliptic singular equations with a quadratic gradient term
Authors:Giovanni Porru  Antonio Vitolo
Institution:a Dipartimento di Matematica e Informatica, Università di Cagliari, 09124 Cagliari, Italy
b Dipartimento di Matematica, Università di Salerno, 84084 Fisciano (Salerno), Italy
Abstract:We investigate the homogeneous Dirichlet problem for a class of second-order elliptic partial differential equations with a quadratic gradient term and singular data. In particular, we study the asymptotic behaviour of the solution near the boundary under suitable assumptions on the growth of the coefficients of the equation.
Keywords:Nonlinear elliptic singular equations  Boundary behaviour
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