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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2016 Volume 57, Number 5, Pages 999–1011 (Mi smj2801)

This article is cited in 8 papers

Lower semicontinuity of mappings with bounded $(\theta,1)$-weighted $(p,q)$-distortion

S. K. Vodop'yanovab, A. O. Molchanovaab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: We prove that, under some extra conditions, the locally uniform limit of mappings with bounded $(\theta,1)$-weighted $(p,q)$-distortion is a mapping of bounded $(\theta,1)$-weighted $(p,q)$-distortion too. Moreover, we obtain the lower semicontinuity of the distortion coefficients.

Keywords: bounded $(\theta,1)$-weighted $(p,q)$-distortion, lower semicontinuity, finite distortion.

UDC: 517.518+517.54

Received: 30.05.2016

DOI: 10.17377/smzh.2016.57.506


 English version:
Siberian Mathematical Journal, 2016, 57:5, 778–787

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© Steklov Math. Inst. of RAS, 2024