3 problems

Let $f_0:\overline{\mathbb{Y}}\to\overline{\mathbb{X}}$ be a finite-distortion homeomorphism with $\mathscr{E}_p[f_0]<\infty$, and let…

Let $f_0:\overline{\mathbb{D}}\to\overline{\mathbb{D}}$ be the prescribed boundary homeomorphism, let $1<p<\infty$, and let…

Let $\mathbb{X}$ and $\mathbb{Y}$ be bounded simply connected Lipschitz domains, let $f_0:\partial\mathbb{Y}\to\partial\mathbb{X}$ be prescribed boundary data, and let … where…