论文标题
在几乎到处都有负面雅各比的索波列夫同构的意义
A sense preserving Sobolev homeomorphism with negative Jacobian almost everywhere
论文作者
论文摘要
对于每$ 1 \ leq p <\ frac {3} {2} $，我们构造了一个sobolev assomomormormormormorphism $ f \ in w^{1，p}（[ - 1,1]^4，[ - 1,1]^4）$
For every $1\leq p<\frac{3}{2}$ we construct a Sobolev homeomorphism $f\in W^{1,p}([-1,1]^4,[-1,1]^4)$ such that $f(x)=x$ for every $x\in \partial[-1,1]^4$ but $J_f<0$ a.e.
