| Abstract: |
| In this talk we discuss the influence of the data on some properties of the solutions to equations of Leray-Lions type in the elliptic case together with the evolutionary one. Significant cases are the heat equation and the degenerate p-Laplacian equation (slow diffusion). We show that there are properties which are determined by the local properties of the data and some other properties which have not a local nature.
In particular, we study the impact of the data on the sign of the solutions in all the domain or in a subset with non null measure. |
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