A note on the continuity of minors in grand Lebesgue spaces

We present a simple proof of the continuity, in the sense distributions, of the minors of the differential matrices of mappings belonging to grand Sobolev spaces. Such function spaces were introduced in connection with a problem on minimal integrability of the Jacobian and are useful in certain aspects of geometric function theory and partial differential equations. © 2019, Springer Nature Switzerland AG.

Authors
Number of issue
2
Language
English
Status
Published
Number
49
Volume
21
Year
2019
Organizations
  • 1 Sobolev Institute of Mathematics, 4 Acad. Koptyug avenue, Novosibirsk, 630090, Russian Federation
  • 2 Peoples’ Friendship University, 6 Miklukho-Maklaya str., Moscow, 117198, Russian Federation
Keywords
Grand Sobolev space; minor of differential matrix; weak continuity
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38612/
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