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
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The behavior of solutions to an elliptic equation involving a p-Laplacian and a q-Laplacian for large p
چکیده انگلیسی
In this paper we study the behavior as p→∞ of solutions up,q to −Δpu−Δqu=0 in a bounded smooth domain Ω with a Lipschitz Dirichlet boundary datum u=g on ∂Ω. We find that there is a uniform limit of a subsequence of solutions, that is, there is pj→∞ such that upj,q→u∞ uniformly in Ω¯ and we prove that this limit u∞ 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 ∞-Laplacian.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 150, February 2017, Pages 104-113
نویسندگان
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