In separate petitions filed on Monday, Howard K. Stern is asking the court to recognize Anna Nicole Smith's 6-year-old will as a binding document, while Larry Birkhead has asked to be appointed the guardian of his and Smith's daughter Dannielynn's estate.

If Smith's will is declared legal, the document tendered by Stern left an estimated $710,000 to Smith's (now-deceased) son, Daniel, and gave Stern custody of the then-minor. A probate proceeding will sort through Smith's assets and debts and establish a trust for Dannielynn, who could possibly inherit the $500 million estate of Smith's late husband, J. Howard Marshall III.

A hearing slated for June 19 will consider the will as well as Birkhead's petition, which claims that Dannielynn's dad "is in the best position to protect and safeguard the interests of the child... including her interests in the estate of her deceased mother."