2 problems

Sierpiński carpet non-removability conjecture. Every Sierpiński carpet is non-removable for quasiconformal maps and for $W^{1,p}$ functions, for

Let $L$ satisfy the assumptions given in the introduction, let $u$ be the Sobolev function under consideration on $\mathbb{R}$, and let $u_t$ denote its infimal convolution with th…