M. Oliva

activity

20162026

most citedSharp bounds for composition with quasiconformal mappings in Sobolev spaces

9 citations · 12 across the 5 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.CA2016★ 9 cited

Sharp bounds for composition with quasiconformal mappings in Sobolev spaces

Marcos Oliva, Martí Prats

Let $ϕ$ be a quasiconformal mapping, and let $T_{ϕ}$ be the composition operator which maps $f$ to $f \circ ϕ$ . Since $ϕ$ may not be bi-Lipschitz, the composition operator need not map…

math.CA2016

Bi-Sobolev homeomorphisms $f$ with $D f$ and $D f^{- 1}$ of low rank using laminates

Marcos Oliva

Let $Ω \subset R^{n}$ be a bounded open set. Given $1 \leq m_{1}, m_{2} \leq n - 2$ , we construct a homeomorphism $f : Ω \to Ω$ that is Hölder continuous, $f$ is the identity on $\par…

math.CA2016

Sobolev homeomorphisms with gradients of low rank via laminates

Daniel Faraco, Carlos Mora-Corral, Marcos Oliva

Let $Ω \subset R^{n}$ be a bounded open set. Given $2 \leq m \leq n$ , we construct a convex function $ϕ : Ω \to R$ whose gradient $f = \nabla ϕ$ is a Hölder continuous h…

Sharp bounds for composition with quasiconformal mappings in Sobolev spaces

Bi-Sobolev homeomorphisms f with Df and Df−1 of low rank using laminates

Sobolev homeomorphisms with gradients of low rank via laminates

Bi-Sobolev homeomorphisms $f$ with $D f$ and $D f^{- 1}$ of low rank using laminates