کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4620333 1339460 2009 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimization problems for an energy functional with mass constraint revisited
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Optimization problems for an energy functional with mass constraint revisited
چکیده انگلیسی

In this paper we report on a variational problem under a constraint on the mass which is motivated by the torsional rigidity and torsional creep. Following a device by Alt, Caffarelli and Friedman we treat instead a problem without constraint but with a penalty term. We will complete some of the results of [C. Bandle, A. Wagner, Optimization problems for weighted Sobolev constants, Calc. Var. Partial Differential Equations 29 (2007) 481–507] where the existence of a Lipschitz continuous minimizer has been established. In particular we prove qualitative properties of the optimal shape.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 352, Issue 1, 1 April 2009, Pages 400-417