论文标题
平面Sobolev同构的差异近似在重排空间中
Diffeomorphic approximation of Planar Sobolev Homeomorphisms in rearrangement invariant spaces
论文作者
论文摘要
令$ω\ subseteq \ mathcal {r}^2 $为域，令$ x $为重新安排不变性空间，让$ f \ in w^{1} x（ω，\ mathcal {r}^2）$在$ω$和$ F（ω$ f（ω）之间）。然后存在一系列差异元素$ f_k $在空间中融合到$ f $的$ w^{1} x（ω，\ mathcal {r}^2）$。
Let $Ω\subseteq\mathcal{R}^2$ be a domain, let $X$ be a rearrangement invariant space and let $f\in W^{1}X(Ω,\mathcal{R}^2)$ be a homeomorphism between $Ω$ and $f(Ω)$. Then there exists a sequence of diffeomorphisms $f_k$ converging to $f$ in the space $W^{1}X(Ω,\mathcal{R}^2)$.
