Boundary behaviour for solutions of elliptic singular equations with a gradient term |
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| Authors: | F Cuccu E Giarrusso G Porru |
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| Institution: | 1. Dipartimento di Matematica e Informatica, Università di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy;2. Dipartimento di Matematica e Applicazioni, Universitá di Napoli “Federico II”, M.S.A., Via Cintia 80126 Napoli, Italy |
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| Abstract: | We investigate the homogeneous Dirichlet boundary value problem for a class of second-order nonlinear elliptic partial differential equations with a gradient term and singular data. Under general conditions on the data, we study the behaviour of the solution near the boundary of the domain. Under suitable additional conditions we also investigate the second-order term in the asymptotic expansion of the solution in terms of the distance from the boundary. |
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| Keywords: | 35J60 35B40 35J25 |
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