Beltrami方程组弱解分量函数的弱单调性

Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 651-655.

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Weak Monotonicity for the Component Functions of |Weak Solutions of Beltrami System

(1. College of Mathematics and Computer Science, Hebei University, Hebei Baoding 071002|2. Hebei Provincial Center of Mathematics, Shijiazhuang 050016|3. College of Mathematics and Econometrics, Hunan University, Changsha |410082)

Received:2007-09-21 Revised:2008-08-26 Online:2009-06-25 Published:2009-06-25
Supported by:
河北省自然科学基金数学研究专项(07M003)、国家自然科学基金(60572114)资助

A new class of function space is introduced. The weak monotonicity of very weak solutions of A-harmonic equation is studied by using this function class. The weak monotonicity for component functions of weak solutions of Beltrami system in space is derived.

Key words: Beltrami system, Weak monotonicity, , A-harmonic equation, Very weak solution

CLC Number:

35J65

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GAO Hong-Ya, WANG Hong-Min, GU Guang-Ze. Weak Monotonicity for the Component Functions of |Weak Solutions of Beltrami System[J].Acta mathematica scientia,Series A, 2009, 29(3): 651-655.

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