Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774333 | Journal of Differential Equations | 2017 | 23 Pages |
Abstract
We study a singularly perturbed problem related to infinity Laplacian operator with prescribed boundary values in a region. We prove that solutions are locally (uniformly) Lipschitz continuous, they grow as a linear function, are strongly non-degenerate and have porous level surfaces. Moreover, for some restricted cases we show the finiteness of the (nâ1)-dimensional Hausdorff measure of level sets. The analysis of the asymptotic limits is carried out as well.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
G.C. Ricarte, J.V. Silva, R. Teymurazyan,