Geodesic
Solvability of the Three-Dimensional Thermistor Problem
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 261 (2008), pp. 101-114

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An existence theorem for one of the complicated versions of the well-known thermistor problem is proved. 
@article{TM_2008_261_a8,
     author = {V. V. Zhikov},
     title = {Solvability of the {Three-Dimensional} {Thermistor} {Problem}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {101--114},
     publisher = {mathdoc},
     volume = {261},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2008_261_a8/}
}
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V. V. Zhikov. Solvability of the Three-Dimensional Thermistor Problem. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 261 (2008), pp. 101-114. http://geodesic.mathdoc.fr/item/TM_2008_261_a8/