کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4611806 1338640 2011 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Monotonicity of solutions of Fully nonlinear uniformly elliptic equations in the half-plane
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Monotonicity of solutions of Fully nonlinear uniformly elliptic equations in the half-plane
چکیده انگلیسی

In this paper we study the monotonicity of positive (or non-negative) viscosity solutions to uniformly elliptic equations F(∇u,D2u)=f(u)F(∇u,D2u)=f(u) in the half plane, where f   is locally Lipschitz continuous (with f(0)⩾0f(0)⩾0) and zero Dirichlet boundary conditions are imposed. The result is obtained without assuming the u   or |∇u||∇u| are bounded.


► We consider viscosity solutions of Fully nonlinear equations.
► We provide maximum and comparison principles.
► We prove the monotonicity of positive solutions in the half-plane.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 251, Issue 6, 15 September 2011, Pages 1562–1579
نویسندگان
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