Gemma Lindfield, for the Swedish authorities, told the court Assange was wanted in connection with four allegations.
She said the first complainant, Miss A, said she was victim of "unlawful coercion" on the night of 14 August in Stockholm.
The court heard Assange is accused of using his body weight to hold her down in a sexual manner.
The second charge alleged Assange "sexually molested" Miss A by having sex with her without a condom when it was her "express wish" one should be used.
The third charge claimed Assange "deliberately molested" Miss A on 18 August "in a way designed to violate her sexual integrity".
The fourth charge accused Assange of having sex with a second woman, Miss W, on 17 August without a condom while she was asleep at her Stockholm home.