The conflicts in the play can be considered to be subliminal, in that they are both internal and external.The most overt and obvious conflict is that of racism and prejudice. The Youngers being black, move into white neighborhood, something that is considered unorthodoxed, looking at the status quo. The neighbors in their denial to accept this rather unwelcom change try to pay them to move away, which later culminates in threats.
Beneatha falls victim to another form of conflict in her wanting to be a doctor and the cost of her school. In her preconceived convictionss, she believes she deserves the money more than anyone else for her education.
Bearing in mind that this is a family unit that has other various and unique needs, the other family members have ideas about how to spend the money as well, so there is the conflict of the money and how to spend it.
Walter in desperation takes the money for a "get rich quick" scheme and gets conned out of it. This act ochestrated by Walter takes away the conflict from the family of how to spend the money and replaces it with how will they afford the new house in addition to their fanned resentment of him and his overt stupidity.
Beneatha in addition falls prey to her own personal demons resulting from the internal conflict of whether or not marry her African boyfriend and move away from her family and all that is familiar and safe.