Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613271 | Journal of Differential Equations | 2007 | 21 Pages |
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.
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