Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43764
Title: | Cavity type problems ruled by infinity Laplacian operator | Authors: | Ricarte, Gleydson Chaves Silva, João Vítor Teymurazyan, Rafayel |
Issue Date: | 2017 | Publisher: | Elsevier | Project: | UID/MAT/00324/2013 | Serial title, monograph or event: | Journal of Differential Equations | Volume: | 262 | Issue: | 3 | 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 (n - 1)-dimensional Hausdorff measure of level sets. The analysis of the asymptotic limits is carried out as well. | URI: | https://hdl.handle.net/10316/43764 | ISSN: | 00220396 | DOI: | 10.1016/j.jde.2016.10.044 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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RST (2017).pdf | 193.07 kB | Adobe PDF | View/Open |
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