کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772194 | 1413351 | 2017 | 75 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Boundary regularity and sufficient conditions for strong local minimizers
ترجمه فارسی عنوان
منظم بودن مرز و شرایط کافی برای مینیمرهای قوی محلی
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
In this paper we present a new proof of the sufficiency theorem for strong local minimizers concerning C1-extremals at which the second variation is strictly positive. The results are presented in the quasiconvex setting, in accordance with the original statement by Grabovsky and Mengesha [31]. The strategy that we follow relies on a Decomposition Theorem that allows to split a sequence of variations into its oscillating and its concentrating parts, as well as on a sufficiency result according to which smooth extremals are spatially-local minimizers. Furthermore, we prove partial regularity up to the boundary for strong local minimizers in the non-homogeneous case and a full regularity result for Lipschitz extremals with gradient of vanishing mean oscillation. As a consequence, we also establish a sufficiency result for this class of extremals. The regularity results are established via a blow-up argument.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 272, Issue 11, 1 June 2017, Pages 4513-4587
Journal: Journal of Functional Analysis - Volume 272, Issue 11, 1 June 2017, Pages 4513-4587
نویسندگان
Judith Campos Cordero,