کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9518179 1345531 2005 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Brunn-Minkowski inequalities for variational functionals and related problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Brunn-Minkowski inequalities for variational functionals and related problems
چکیده انگلیسی
Recently, several inequalities of Brunn-Minkowski type have been proved for well-known functionals in the Calculus of Variations, e.g. the first eigenvalue of the Laplacian, the Newton capacity, the torsional rigidity and generalizations of these examples. In this paper, we add new contributions to this topic: in particular, we establish equality conditions in the case of the first eigenvalue of the Laplacian and of the torsional rigidity, and we prove a Brunn-Minkowski inequality for another class of variational functionals. Moreover, we describe the links between Brunn-Minkowski type inequalities and the resolution of Minkowski type problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 194, Issue 1, 20 June 2005, Pages 105-140
نویسندگان
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