Uniqueness results for positive harmonic functions on (B-n)over-bar satisfying a nonlinear boundary condition

Guo Qianqiao; Wang Xiaodong

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Uniqueness results for positive harmonic functions on (B-n)over-bar satisfying a nonlinear boundary condition

机译：（B-N）过度条满足非线性边界条件的正谐波函数的唯一性

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摘要

We prove some uniqueness results for positive harmonic functions on the unit ball satisfying a nonlinear boundary condition.

机译：我们证明了在满足非线性边界条件的单位球上的正谐波函数的一些唯一性结果。

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来源
《Calculus of variations and partial differential equations》 |2020年第5期|共8页
作者
Guo Qianqiao; Wang Xiaodong;
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作者单位

Northwestern Polytech Univ Sch Math &

Stat Xian 710129 Shaanxi Peoples R China;

Michigan State Univ Dept Math E Lansing MI 48824 USA;

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正文语种 eng
中图分类偏微分方程;变分法;
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专利

1. Uniqueness results for positive harmonic functions on (B-n)over-bar satisfying a nonlinear boundary condition [J] . Guo Qianqiao, Wang Xiaodong Calculus of variations and partial differential equations . 2020,第5期

机译：（B-N）过度条满足非线性边界条件的正谐波函数的唯一性
2. The boundary Harnack inequality for infinity harmonic functions in Lipschitz domains satisfying the interior ball condition [J] . Juutinen P Nonlinear Analysis: An International Multidisciplinary Journal . 2008,第7期

机译：满足内部球条件的Lipschitz域中无穷调和函数的边界Harnack不等式
3. Blow-up behavior of planar harmonic functions satisfying a certain exponential Neumann boundary condition [J] . Medville K, Vogelius MS SIAM Journal on Mathematical Analysis . 2005,第6期

机译：满足一定指数Neumann边界条件的平面谐波函数的爆破行为
4. Positivity conditions of Lyapunov functions for systems with slope restricted nonlinearities [C] . G. Valmorbida, R. Drummond, S. R. Duncan American Control Conference . 2016

机译：具有斜率约束非线性系统的Lyapunov函数的正条件。
5. Test functions for elliptic problems satisfying linear essential edge conditions on both convex and concave polygons. [D] . Malsch, Elisabeth Anna. 2003

机译：椭圆和凸多边形上满足线性基本边缘条件的椭圆问题的测试函数。
6. Boundary Values of Functions Satisfying a Linear Partial Differential Equation of Elliptic Type [O] . Stefan Bergman 1940

机译：满足椭圆型线性偏微分方程的函数的边值
7. A uniqueness criterion for harmonic functions under nonlinear boundary conditions [O] . Cushing J.M 1971

机译：非线性边界条件下谐波函数的唯一性准则

Uniqueness results for positive harmonic functions on (B-n)over-bar satisfying a nonlinear boundary condition

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