We consider certain classes of homeomorphisms of domains in ℝn with integrally bounded p-moduli of the families of curves and surfaces, which essentially extend the well-known classes of mappings such as quasiconformal, quasiisometric, Lipschitzian, etc. In the paper we survey the known results in this field regarded to the differential properties of such homeomorphisms, but mainly present a wide range of open related problems.
CITATION STYLE
Golberg, A., & Salimov, R. (2018). Regularity of mappings with integrally restricted moduli. In Trends in Mathematics (pp. 129–140). Springer International Publishing. https://doi.org/10.1007/978-3-319-70154-7_8
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