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.
|Titolo:||Problems for elliptic singular equations with a quadratic gradient term|
|Autori interni:||VITOLO, Antonio|
|Data di pubblicazione:||2007|
|Rivista:||JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS|
|Appare nelle tipologie:||1.1.2 Articolo su rivista con ISSN|