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Mappings of finite distortion: decay of the Jacobian in the plane
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Pekka Koskela
Published/Copyright:
November 25, 2008
Abstract
We establish the optimal degree of integrability for the reciprocal of the Jacobian determinant of a planar mapping of finite, p-integrable distortion.
Keywords.: Mapping of finite distortion; Jacobian
Received: 2007-10-10
Revised: 2008-05-03
Published Online: 2008-11-25
Published in Print: 2008-October
© de Gruyter 2008
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- Large solutions for the infinity Laplacian
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Articles in the same Issue
- Comparison between second variation of area and second variation of energy of a minimal surface
- Regularity theorems for degenerate quasiconvex energies with (p, q)-growth
- Large solutions for the infinity Laplacian
- Generalized Mather problem and selection principles for viscosity solutions and mather measures
- Mappings of finite distortion: decay of the Jacobian in the plane
- The scalar curvature flow in Lorentzian manifolds
