کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904655 1633753 2018 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Maximum principles for the fractional p-Laplacian and symmetry of solutions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Maximum principles for the fractional p-Laplacian and symmetry of solutions
چکیده انگلیسی
We prove a maximum principle for anti-symmetric functions and obtain other key ingredients for carrying on the method of moving planes, such as a variant of the Hopf Lemma - a boundary estimate lemma which plays the role of the narrow region principle. Then we establish radial symmetry and monotonicity for positive solutions to semilinear equations involving the fractional p-Laplacian in a unit ball and in the whole space. We believe that the methods developed here can be applied to a variety of problems involving nonlinear nonlocal operators.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 335, 7 September 2018, Pages 735-758
نویسندگان
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