کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774333 1413556 2017 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cavity type problems ruled by infinity Laplacian operator
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Cavity type problems ruled by infinity Laplacian operator
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 3, 5 February 2017, Pages 2135-2157
نویسندگان
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