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Sliding method for fully nonlinear fractional order equations
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2021-01-05 , DOI: 10.1080/17476933.2020.1843449 Yajie Zhang 1 , Feiyao Ma 1 , Weifeng Wo 1
中文翻译:
完全非线性分数阶方程的滑动方法
更新日期:2021-01-05
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2021-01-05 , DOI: 10.1080/17476933.2020.1843449 Yajie Zhang 1 , Feiyao Ma 1 , Weifeng Wo 1
Affiliation
In this paper, the monotonicity of solutions for fully nonlinear fractional order equations is studied. We establish a narrow region principle in bounded domains. Then using the sliding method, we obtain the monotonicity of the solutions of fully nonlinear fractional order equations on both bounded domains and the whole space.
中文翻译:
完全非线性分数阶方程的滑动方法
本文研究了全非线性分数阶方程解的单调性。我们在有界域中建立了窄域原则。然后使用滑动方法,我们获得了在有界域和整个空间上的完全非线性分数阶方程的解的单调性。