کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5024692 | 1470451 | 2017 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The behavior of solutions to an elliptic equation involving a p-Laplacian and a q-Laplacian for large p
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The behavior of solutions to an elliptic equation involving a p-Laplacian and a q-Laplacian for large p The behavior of solutions to an elliptic equation involving a p-Laplacian and a q-Laplacian for large p](/preview/png/5024692.png)
چکیده انگلیسی
In this paper we study the behavior as pââ of solutions up,q to âÎpuâÎqu=0 in a bounded smooth domain Ω with a Lipschitz Dirichlet boundary datum u=g on âΩ. We find that there is a uniform limit of a subsequence of solutions, that is, there is pjââ such that upj,qâuâ uniformly in Ω¯ and we prove that this limit uâ is a solution to a variational problem, that, when the Lipschitz constant of the boundary datum is less than or equal to one, is given by the minimization of the Lq-norm of the gradient with a pointwise constraint on the gradient. In addition we show that the limit is a viscosity solution to a limit PDE problem that involves the q-Laplacian and the â-Laplacian.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 150, February 2017, Pages 104-113
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 150, February 2017, Pages 104-113
نویسندگان
Denis Bonheure, Julio D. Rossi,