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Subjects
82-XX Statistical mechanics, structure of matter
82Dxx Applications to specific types of physical systems
82D37 Semiconductors

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Electronic properties of superconductor-semiconductor mesoscopic device.

Awadalla, Attia.A. (2006)

APPS. Applied Sciences

Estimate of the Hausdorff measure of the singular set of a solution for a semi-linear elliptic equation associated with superconductivity

Junichi Aramaki (2010)

Archivum Mathematicum

We study the boundedness of the Hausdorff measure of the singular set of any solution for a semi-linear elliptic equation in general dimensional Euclidean space $ℝ^{n}$ . In our previous paper, we have clarified the structures of the nodal set and singular set of a solution for the semi-linear elliptic equation. In particular, we showed that the singular set is $(n - 2)$ -rectifiable. In this paper, we shall show that under some additive smoothness assumptions, the $(n - 2)$ -dimensional Hausdorff measure of singular set...

Existence of weak solutions to a class of degenerate semiconductor equations modeling avalanche generation.

Wu, Bin (2009)

Mathematical Problems in Engineering

Currently displaying 1 – 3 of 3

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