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Some Global Estimates for the Jacobians of Quasiregular Mappings
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Some global estimates for the Jacobians of quasiregular mappings f = (f¹, f², ..., fⁿ) of the Sobolev class W¹,ⁿ(Ω, Rⁿ) in L^φ(μ)-domains and John domains are established.
Abstract
Some global estimates for the Jacobians of quasiregular mappings f = (f¹, f², ..., fⁿ) of the Sobolev class W¹,ⁿ(Ω, Rⁿ) in L^φ(μ)-domains and John domains are established.
참고문헌 (8)
- G. Bao, "Invariance properties of Lφ(μ)-domains under some mappings", J. Math. Anal. Appl, 259, pp.241~252 (2001)
- S. Ding, "Ls(μ)- averaging domains", J. Math. Anal. Appl, 283, pp.85~99 (2003)
- F. W. Gehring, "The Lp-integrability of partial derivatives of a quasiconformal map-ping", Acta Math, 130, pp.265~277 (1973)
- J. Hogan, "Global higher integrability of Jacobians on bounded domains", Ann. Inst. H.Poincare Anal, 17, pp.193~217 (2000)
- T. Iwaniec, "On the integrability of the Jacobian under minimal hypotheses", Arch. Rational Mech. Anal, 119, pp.129~143 (1992)
- T. Iwaniec, "Global estimates for the Jacobians of orientation-preserving mappings", Compu. Math. Appl, 50, pp.707~718 (2005)
- T. Iwaniec, "Geometric function theory and nonlinear analysis" (2001), Clarendon Press
- S. Müller, "Higher integrability of determinants and week convergence in L1", J. Reine Angew. Math, 412, pp.20~34 (1990)
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