## Taiwanese Journal of Mathematics

- Taiwanese J. Math.
- Volume 22, Number 3 (2018), 741-765.

### Existence of Weak Solution for a Class of Abstract Coupling System Associated with Stationary Electromagnetic System

#### 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.

#### Article information

**Source**

Taiwanese J. Math., Volume 22, Number 3 (2018), 741-765.

**Dates**

Received: 3 September 2017

Revised: 28 January 2018

Accepted: 13 February 2018

First available in Project Euclid: 14 March 2018

**Permanent link to this document**

https://projecteuclid.org/euclid.twjm/1520992819

**Digital Object Identifier**

doi:10.11650/tjm/180203

**Mathematical Reviews number (MathSciNet)**

MR3807335

**Zentralblatt MATH identifier**

06965395

**Subjects**

Primary: 35D05 35H30: Quasi-elliptic equations 35J60: Nonlinear elliptic equations 35J65: Nonlinear boundary value problems for linear elliptic equations

**Keywords**

stationary electromagnetic system weak solution coupling system

#### Citation

Aramaki, Junichi. Existence of Weak Solution for a Class of Abstract Coupling System Associated with Stationary Electromagnetic System. Taiwanese J. Math. 22 (2018), no. 3, 741--765. doi:10.11650/tjm/180203. https://projecteuclid.org/euclid.twjm/1520992819