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Relaxation of an area-like functional for the function x/|x|

Publication at Faculty of Mathematics and Physics |
2007

Abstract

We compute the relaxation of an area-like functional for sequences of functions from the intersection of C^1(B(r),R^m)and L^1(B(r),R^m) converging strongly in the L^1(B(r),R^m)-norm to the function x/|x|.