Jacobians of $$W^{1,p}$$ homeomorphisms, case $$p=[n/2]$$

Author:

Goldstein Paweł,Hajłasz Piotr

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference40 articles.

1. Acerbi, E., Fusco, N.: An approximation lemma for $$W^{1,p}$$ functions. In: Material Instabilities in Continuum Mechanics (Edinburgh, 1985–1986), pp. 1–5. Oxford University Press, New York (1988)

2. Besov, O. V., Il’in, V. P., Nikol’skiĭ, S. M.: Integral representations of functions and imbedding theorems. Vol. II. Scripta Series in Mathematics. Edited by Mitchell H. Taibleson. V. H. Winston & Sons, Washington, D.C.; Halsted Press [John Wiley & Sons], New York-Toronto, Ont.-London (1979)

3. Bojarski, B., Hajłasz, P.: Pointwise inequalities for Sobolev functions and some applications. Stud. Math. 106, 77–92 (1993)

4. Campbell, D., Hencl, S., Tengvall, V.: Approximation of $$W^{1, p}$$ Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian. Adv. Math. 331, 748–829 (2018)

5. Černý, R.: Homeomorphism with zero Jacobian: sharp integrability of the derivative. J. Math. Anal. Appl. 373, 161–174 (2011)

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