References
Hyde, F.J. Thermistors. Iliffe Books, London, 1971.
Young, J.M. Steady State Joule Heating with Temperature Dependent Conductivities.Appl. Sc. Research, 1986, 43: 55–65.
Diesselhorst, H. Ueber das Probleme Eines Elektrisch Erwarmten Leiters.Ann. Physics, 1900, 1: 312–325.
Cimatti, G. A Bound for the Temperature in the Thermistor Problem.IMA J. Appl. Math., 1988, 40: 15–22.
Hong Xie and Allegretto, W.\(C^\alpha (\bar \Omega )\) Solutions of a Class of Nonlinear Degenerate Elliptic System Arising in the Thermistor Problem.SIAM J. Math. Anal., 1991, 22: 1491–1499.
Cimatti, G. and Prodi, G. Existence Results for a Nonlinear Elliptic System Modelling a Temperature Dependent Electrical Resistor.Ann. Mat. Pura Appl., 1988, 152: 227–236.
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This project is supported by the National Natural Science Foundation of China.
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Chen, Q. Joule heating and thermistor problems with mixed boundary conditions. Acta Mathematicae Applicatae Sinica 10, 333–336 (1994). https://doi.org/10.1007/BF02006863
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DOI: https://doi.org/10.1007/BF02006863