Clifford分析中奇异积分方程的单调性原理
Monotonicity principles for singular integral equations in Clifford analysis
摘要：
利用单调性原理可以得到非线性奇异积分方程的信息。这些结果是基于Browder和Minty的定理。本文考虑一类单调奇异积分算子及其相应的Nemickii算子的非线性奇异积分方程，并将其应用于三维欧几里得空间的非线性磁场方程.
英文摘要：
Monotonicity principles can be used to get informations about nonlinear singular integral equations. These results are based on a theorem of Browder and Minty. We consider a family of monotone singular integral operators and associated nonlinear singular integral equations with Nemickii operator in Clifford analysis which has an application to the nonlinear magnetic field equation in the 3-dimensional Euclidean space.
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