6533b85efe1ef96bd12bf4ba

RESEARCH PRODUCT

Mappings of exponentially integrable distortion: Decay of the Jacobian

Antti Räbinä

subject

Integrable systemApplied MathematicsGeneral Mathematics010102 general mathematicsMathematical analysista11102 engineering and technology021001 nanoscience & nanotechnologyintegrability01 natural sciencesfunktioteoriasymbols.namesakeExponential growthmappings of finite distortionDistortionJacobian matrix and determinantsymbols0101 mathematicskompleksifunktiot0210 nano-technologyJacobianMathematics

description

We establish an integrability result on the reciprocal of the Jacobian determinant for a mapping of exponentially integrable distortion and thus answer a question raised by S. Hencl and P. Koskela.

yearjournalcountryeditionlanguage
2018-04-04Proceedings of the American Mathematical Society
10.1090/proc/13860https://doi.org/10.1090/proc/13860