کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
841125 | 908501 | 2011 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quasi-linear boundary value problems with generalized nonlocal boundary conditions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Quasi-linear boundary value problems with generalized nonlocal boundary conditions Quasi-linear boundary value problems with generalized nonlocal boundary conditions](/preview/png/841125.png)
چکیده انگلیسی
We investigate a quasi-linear boundary value problem of the form −div(α|∇u|p−2∇u)=0 involving a general boundary map and mixed Neumann boundary conditions on a bounded Lipschitz domain. We show existence, uniqueness, and Hölder continuity of the weak solution of this mixed boundary value problem, and obtain maximum principles for this class of mixed equations. As a consequence, we obtain uniform continuity up to the boundary to solutions associated with a class of electrical models described by Maxwell’s equations with nonlocal boundary conditions. An extension to boundary value problems with generalized nonlocal Robin boundary conditions is also achieved.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 14, October 2011, Pages 4601–4621
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 14, October 2011, Pages 4601–4621
نویسندگان
Alejandro Vélez-Santiago,