Weak limit of W1,2 homeomorphisms in R3 can have any degree
Autoři
Bouchala, O.; Hencl, S.; Zhu, Z.
Rok
2024
Publikováno
Annales Fennici Mathematici. 2024, 49(2), 547-560. ISSN 2737-0690.
Typ
Článek
Pracoviště
Anotace
In this paper for every k is an element of Z we construct a sequence of weakly converging homeomorphisms h(m) : B(0, 10) -> R-3 , h(m) h in W-1,W-2 (B(0, 10)), such that h(m)(x) = x on partial derivative B(0, 10) and for every r is an element of 5 16 , 7 16 ) the degree of h with respect to the ball B(0, r) is equal to k on a set of positive measure.