کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4604262 1337428 2014 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative phase
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative phase
چکیده انگلیسی

In this paper we investigate Lipschitz regularity of minimizers for classes of functionals including ones of the type EG(u,Ω)=∫Ω[G(|∇u|)+f2χ{u>0}+f1χ{u⩽0}]dx. We prove that there exists a universal “tolerance” (depending only on the degenerate ellipticity and other intrinsic parameters) for the density of the negative phase along the free boundary under which uniform Lipschitz regularity holds. We also prove density estimates from below for the negative phase on points inside the contact set between the negative and positive free boundaries in the case where Lipschitz regularity fails to be the optimal one.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 31, Issue 4, July–August 2014, Pages 823–850
نویسندگان
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