Stationary profiles of degenerate problems with inhomogeneous saturation values

Shingo Takeuchi

doi:10.1016/j.na.2005.01.018

Stationary profiles of degenerate problems with inhomogeneous saturation values

Shingo Takeuchi

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	e1009-e1016
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	63
Issue number	5-7
DOIs	https://doi.org/10.1016/j.na.2005.01.018
Publication status	Published - 2005 Nov 30
Externally published	Yes

Keywords

Degenerate diffusion
Flat core
p-Laplacian

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2005.01.018

Cite this

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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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M3 - Article

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SP - e1009-e1016

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5-7

ER -

Stationary profiles of degenerate problems with inhomogeneous saturation values

Abstract

Keywords

ASJC Scopus subject areas

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