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.

Авторы
Номер выпуска
2
Язык
Английский
Статус
Опубликовано
Номер
49
Том
21
Год
2019
Организации
  • 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
Ключевые слова
Grand Sobolev space; minor of differential matrix; weak continuity
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