کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839338 | 1470468 | 2016 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Characterization of stadium-like domains via boundary value problems for the infinity Laplacian
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We give a complete characterization, as “stadium-like domains”, of convex subsets ΩΩ of RnRn where a solution exists to Serrin-type overdetermined boundary value problems in which the operator is either the infinity Laplacian or its normalized version. In case of the not-normalized operator, our results extend those obtained in a previous work (where the problem was solved under some geometrical restrictions on ΩΩ), while in the case of the normalized operator they are new. In the normalized case, we also show that stadium-like domains are precisely the unique convex sets in RnRn where the solution to a Dirichlet problem is of class C1,1(Ω)C1,1(Ω).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 133, March 2016, Pages 228–249
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 133, March 2016, Pages 228–249
نویسندگان
Graziano Crasta, Ilaria Fragalà,