کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774187 1413548 2017 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the regularity of the free boundary in the p-Laplacian obstacle problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the regularity of the free boundary in the p-Laplacian obstacle problem
چکیده انگلیسی
Here we study the regularity of the free boundary where ∇φ=0. On the one hand, for every p≠2 we construct explicit global 2-homogeneous solutions to the p-Laplacian obstacle problem whose free boundaries have a corner at the origin. In particular, we show that the free boundary is in general not C1 at points where ∇φ=0. On the other hand, under the “concavity” assumption |∇φ|2−pΔpφ<0, we show the free boundary is countably (n−1)-rectifiable and we prove a nondegeneracy property for u at all free boundary points.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 3, 5 August 2017, Pages 1931-1945
نویسندگان
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