کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898593 1631492 2018 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Neumann problem for p-Laplace equation in metric spaces using a variational approach: Existence, boundedness, and boundary regularity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Neumann problem for p-Laplace equation in metric spaces using a variational approach: Existence, boundedness, and boundary regularity
چکیده انگلیسی
We employ a variational approach to study the Neumann boundary value problem for the p-Laplacian on bounded smooth-enough domains in the metric setting, and show that solutions exist and are bounded. The boundary data considered are Borel measurable bounded functions. We also study boundary continuity properties of the solutions. One of the key tools utilized is the trace theorem for Newton-Sobolev functions, and another is an analog of the De Giorgi inequality adapted to the Neumann problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 6, 15 September 2018, Pages 2431-2460
نویسندگان
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