On a nonlinear eigenmode problem in semiconductor theory
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 872-880

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A model problem in semiconductor physics concerning the natural electrical oscillations in a semiconductor with allowance for strong dissipation and negative differential conductivity is considered. This is a nonlinear boundary value problem, and its solvability is proved by applying S. I. Pohozaev's method of spherical fibering.
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M. O. Korpusov; A. G. Sveshnikov. On a nonlinear eigenmode problem in semiconductor theory. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 872-880. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a9/