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June, 2018 Existence of Weak Solution for a Class of Abstract Coupling System Associated with Stationary Electromagnetic System
Junichi Aramaki
Taiwanese J. Math. 22(3): 741-765 (June, 2018). DOI: 10.11650/tjm/180203

Abstract

We consider the existence of a weak solution for a class of coupling system containing stationary electromagnetic coupling system associated with the Maxwell equations in a multi-connected domain. Mathematically we are concerned with the coupled system containing a $p$-curl equation and a $q$-Laplacian equation.

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Junichi Aramaki. "Existence of Weak Solution for a Class of Abstract Coupling System Associated with Stationary Electromagnetic System." Taiwanese J. Math. 22 (3) 741 - 765, June, 2018. https://doi.org/10.11650/tjm/180203

Information

Received: 3 September 2017; Revised: 28 January 2018; Accepted: 13 February 2018; Published: June, 2018
First available in Project Euclid: 14 March 2018

zbMATH: 06965395
MathSciNet: MR3807335
Digital Object Identifier: 10.11650/tjm/180203

Subjects:
Primary: 35D05 , 35H30 , 35J60 , 35J65

Keywords: coupling system , stationary electromagnetic system , Weak solution

Rights: Copyright © 2018 The Mathematical Society of the Republic of China

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Vol.22 • No. 3 • June, 2018
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