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Problems for elliptic singular equations with a gradient term
We investigate the homogeneous Dirichlet problem for a class of second-order nonlinear elliptic partial differential equations with singular data. In particular, we study the asymptotic behaviour of
the solution near the boundary up to the second order under various assumptions on the growth of the coefficients of the equation
Maximum principles for a class of non-linear second order elliptic differential equations
Best Possible Maximum principles for fully nonlinear elliptic partial differential equations
Problems for elliptic singular equations with a gradient term
We investigate the homogeneous Dirichlet problem for a class of second-order nonlinear elliptic partial differential equations with singular data. In particular, we study the asymptotic behaviour of
the solution near the boundary up to the second order under various assumptions on the growth of the coefficients of the equation
Problems for elliptic singular equations with a quadratic gradient term
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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