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.
Boundary behaviour for solutions of elliptic singular equations with a gradient term / Cuccu, F; Giarrusso, Ester; Porru, G.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 69:(2008), pp. 4550-4566.
Boundary behaviour for solutions of elliptic singular equations with a gradient term
GIARRUSSO, ESTER;
2008
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.| File | Dimensione | Formato | |
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