Contradiction with Genesis 28:13
Joshua 24:4 states that Isaac had given Esau Mount Seir, while Genesis 28:13 indicates that the land was promised to Jacob and his descendants.
Genesis 28:13: And, behold, the LORD stood above it, and said, I [am] the LORD God of Abraham thy father, and the God of Isaac: the land whereon thou liest, to thee will I give it, and to thy seed;
Contradiction with Genesis 27:39-40
Joshua 24:4 suggests an allocation of Mount Seir to Esau, but Genesis 27:39-40 implies that Esau's blessing was more about living by the sword and serving his brother.
Genesis 27:39-40: And Isaac his father answered and said unto him, Behold, thy dwelling shall be the fatness of the earth, and of the dew of heaven from above; [the fatness: or, of the fatness]
Contradiction with Deuteronomy 2:5
Joshua 24:4 mentions a specific allocation of the land to Esau, while Deuteronomy 2:5 prohibits Israel from taking any of Mount Seir, suggesting the land belonged wholly to Esau's descendants.
Deuteronomy 2:5: Meddle not with them; for I will not give you of their land, no, not so much as a foot breadth; because I have given mount Seir unto Esau [for] a possession. [no...: Heb. even to the treading of the sole of the foot]