Stationary profiles of degenerate problems with inhomogeneous saturation values

研究成果: Article

5 引用 (Scopus)

抄録

This work is concerned with the profiles of solutions for stationary problems between the degenerate diffusion of the p-Laplacian and a reaction with an inhomogeneous saturation value. It is shown that if a parameter for the diffusion is sufficiently small, then the solution attains the saturation value of the reaction in each region where the saturation value is constant. The associated evolutional problem is also mentioned.

元の言語English
ジャーナルNonlinear Analysis, Theory, Methods and Applications
63
発行部数5-7
DOI
出版物ステータスPublished - 2005 11 30
外部発表Yes

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Saturation (materials composition)

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mathematics(all)

これを引用

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keywords = "Degenerate diffusion, Flat core, p-Laplacian",
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AB - This work is concerned with the profiles of solutions for stationary problems between the degenerate diffusion of the p-Laplacian and a reaction with an inhomogeneous saturation value. It is shown that if a parameter for the diffusion is sufficiently small, then the solution attains the saturation value of the reaction in each region where the saturation value is constant. The associated evolutional problem is also mentioned.

KW - Degenerate diffusion

KW - Flat core

KW - p-Laplacian

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