Article ID Journal Published Year Pages File Type
4613271 Journal of Differential Equations 2007 21 Pages PDF
Abstract

We consider the Dirichlet problem for a class of anisotropic degenerate elliptic equations. New a priori estimates for solutions and for the gradient of solutions are established. Based on these estimates sufficient conditions guaranteeing the solvability of the problem are formulated. The results are new even in the semilinear case when the principal part is the Laplace operator.

Related Topics
Physical Sciences and Engineering Mathematics Analysis