In this paper, we establish some global weighted integral estimates for the Jacobians J (x, f ) of an orientation-preserving mapping f = (f1, f2, , fn) : Ω → ℝn of the Sobolev class W1,n(Ω, ℝn) in John domains and Lφ(μ)-domains.
- John domains
- Orientation-preserving mappings
ASJC Scopus subject areas
- Modeling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics