We investigate the homogeneous Dirichlet problem for a class of second-order elliptic partial differential equations with a quadratic gradient term and singular data, arising for instance in the theory of non-Newtonian fluids of type Callegari-Nachman and also of heat conduction in electrically conducting materials of type Cohen-Keller. In particular, we study the asymptotic behavior of the solution near the boundary under suitable assumptions on the growth of the coefficients of the equation.

Problems for elliptic singular equations with a quadratic gradient term

VITOLO, Antonio
2007-01-01

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, arising for instance in the theory of non-Newtonian fluids of type Callegari-Nachman and also of heat conduction in electrically conducting materials of type Cohen-Keller. In particular, we study the asymptotic behavior of the solution near the boundary under suitable assumptions on the growth of the coefficients of the equation.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1703472
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