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Local homeomorphisms having local ACLn inverses
Titel:
Local homeomorphisms having local ACLn inverses
Auteur:
Cristea, Mihai
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 53 (2008) nr. 1 pagina's 77-99
Jaar:
2008-01
Inhoud:
We consider local homeomorphisms between domains from Rn satisfying condition (N) and having local ACLn inverses. For such mappings we generalize some basic facts from the theory of quasiregular mappings as the modular inequality of Poleckii and estimates of the modulus of spherical rings from [Koskela, P. and Onninen, J., 2002, Mappings of finite distortion: capacity and modulus inequalities, Preprint 257, University of Jyvaskyla; Martio, O., Ryazanov, V., Srebro, U. and Yakubov, E., 2005, On Q-homeomorphisms, Annales Academiae Scientarum Fennicae Mathematica, 30, 49-69] and [Martio, O., Ryazanov, V., Srebro, U. and Yakubov, E., 2002, Mappings of finite length distortion, Preprint 322, Reports Mathematics Department, University of Helsinki], and we use these facts to extend Zoric's theorem and to calculate the radius of injectivity for this class of mappings.
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
Details van artikel 122 van 269 gevonden artikelen
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