Monotonicity of radially symmetric supersolutions for polyharmonic-type operators

Yuxin Ge; Dong Ye

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Monotonicity of radially symmetric supersolutions for polyharmonic-type operators

机译：多调和型算子的径向对称超级解的单调性

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摘要

In this work, we prove some "precise properties" for radially symmetric supersolutions for polyharmonic operators with zero Dirichlet boundary conditions. As a consequence, we prove that they are strictly monotone functions of the radius.

机译：在这项工作中，我们证明了零狄利克雷边界条件的多谐波算子的径向对称超解的一些“精确性质”。结果，我们证明它们严格是半径的单调函数。

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《Differential and integral equations》 |2002年第3期|共10页
作者
Yuxin Ge; Dong Ye;
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正文语种 eng
中图分类微分方程、积分方程;
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1. Monotonicity of radially symmetric supersolutions for polyharmonic-type operators [J] . Yuxin Ge, Dong Ye Differential and integral equations . 2002,第3期

机译：多调和型算子的径向对称超级解的单调性
2. Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems [J] . Lingchen Kong, Levent Tunçel, Naihua Xiu Mathematical Programming . 2012,第1a2期

机译：Löwner算子的单调性及其在对称锥互补问题中的应用
3. Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case [J] . Dolbeault J, Felmer P Nonlinear Analysis: An International Multidisciplinary Journal . 2004,第3a4期

机译：非线性椭圆方程正解的径向对称核心的单调性：非Lipschitz情况下的局部运动平面和唯一连续
4. Image reduction operators based on non-monotonic averaging functions [C] . Wilkin Tim IEEE International Conference on Fuzzy Systems . 2013

机译：基于非单调平均函数的图像约简算子
5. Radial Estimate of Isotropic Pseudo-Differential Operators via FBI Transform [D] . Zhu, Beite. 2020

机译：通过FBI变换的各向同性伪差分运营商的径向估计
6. Theory of connectivity for formally symmetric operators [O] . Ismael Herrera 1977

机译：形式对称算子的连通性理论
7. Monotonicity of Löwner Operators and Its Applications to Symmetric Cone Complementarity Problems ∗ [O] . Lingchen Kong, Levent Tunçel, Naihua Xiu 2007

机译：Löwner算子的单调性及其在对称锥互补问题上的应用
8. Studies of a Radially-Symmetric Transit Time Oscillator - The Radial Acceletron [R] . Schamiloglu, E. 2000

机译：径向对称传输时间振荡器的研究 - 径向加速器

Monotonicity of radially symmetric supersolutions for polyharmonic-type operators

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