6533b834fe1ef96bd129d452

RESEARCH PRODUCT

BLD -mappings in $W^{2,2}$ are locally invertible

Tero KilpeläinenJuha Heinonen

subject

Discrete mathematicsDistortion (mathematics)Invertible matrixIntegrable systemlawGeneral MathematicsBounded functionMathematics::General TopologySecond derivativeMathematicslaw.invention

description

We prove that mappings of bounded length distortion are local homeomorphisms if they have L 2 -integrable weak second derivatives.

https://doi.org/10.1007/s002080000129