ID  110918 
Author 
Ito, Masayuki
Tokushima University
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Content Type 
Departmental Bulletin Paper

Description  Let L(u) = L(u,∇u) be a functional on W1,1(Ω) whose formal EulerLagrange equation at the critical point u of L is the prescribed mean curvature equation:
−div(∇u /√1 + ∇u2)= g(x, u). Suppose L(u) = L(u,Du) is a relaxed functional of L(u), the weakly lower semicontinuous extension of L on the space of functions of bounded variation. How dose the relaxation affect the prescribed mean curvature equation? Instead of an EulerLagrange equation, we obtain here the socalled EulerLagrange system of equations which the critical points u of L and their derivatives Du necessarily satisfy. 
Journal Title 
Journal of Mathematics

ISSN  13467387

NCID  AA11595324

Volume  50

Start Page  127

End Page  144

Sort Key  127

Published Date  2016

FullText File  
language 
eng

TextVersion 
Publisher

departments 
Science and Technology
