کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5024702 1470441 2017 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Maximum principle for Pucci equations with sublinear growth in Du and its applications
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Maximum principle for Pucci equations with sublinear growth in Du and its applications
چکیده انگلیسی
It is obtained that there exist strong solutions of Pucci extremal equations with sublinear growth in Du and measurable ingredients. It is proved that a strong maximum principle holds in a local sense in Lemma 4.1 although even the (weak) maximum principle fails. By using this existence result, it is shown that the ABP type maximum principle and the weak Harnack inequality for viscosity solutions hold true. As an application, the Hölder continuity for viscosity solutions of possibly singular, quasilinear equations is established.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis - Volume 160, September 2017, Pages 1-15
نویسندگان
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