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Monotonicity principles for singular integral equations in Clifford analysis

Swanhild Bernstein
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Abstract

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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Swanhild Bernstein. 1998-05-11. Monotonicity principles for singular integral equations in Clifford analysis. https://arxiv.org/abs/math/9805050

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