TY - JOUR
T1 - Stationary profiles of degenerate problems with inhomogeneous saturation values
AU - Takeuchi, Shingo
PY - 2005/11/30
Y1 - 2005/11/30
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=28044460822&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=28044460822&partnerID=8YFLogxK
U2 - 10.1016/j.na.2005.01.018
DO - 10.1016/j.na.2005.01.018
M3 - Article
AN - SCOPUS:28044460822
VL - 63
SP - e1009-e1016
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 5-7
ER -