In this paper for every \(k\) we construct a sequence of weakly converging homeomorphisms \(h_m B(0,10)^3\), \(h_m h\) in \(W1,2(B(0,10))\), such that \(h_m(x)=x\) on \(∂ B(0,10)\) and for every \(r∈(5/16,7/16)\) the degree of \(h\) with respect to the ball \(B(0,r)\) is equal to \(k\) on a set of positive measure.
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Bouchala et al. (2024) studied this question.
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