In Arthur Miller's "Death of a Salesman," the conflict centers around the main character, Willy Loman, and his struggle to come to terms with his own perceived failure as a salesman and provider for his family. Willy's conflict is primarily internal, as he grapples with his own self-doubt and disappointment, but it also plays out in his relationships with his wife, Linda, and his two sons, Biff and Happy.
Willy's conflict with himself is evident in his constant fluctuation between the present and the past, as he revisits memories of his earlier successes and tries to come to terms with his current reality. He is plagued by feelings of inadequacy and self-pity, and he struggles to accept that he is no longer the successful salesman he once was. Willy's conflict with his own sense of identity is compounded by his belief that success is solely determined by financial success and the admiration of others, and he cannot come to terms with the fact that he has not achieved this type of success.
Willy's conflict with Linda is rooted in his deep love for her and his desire to provide for her and their family, but his inability to do so causes him great distress. Linda, on the other hand, is more practical and supportive, and she tries to help Willy see that their love and their family are more important than material success. Willy's conflict with Linda is further complicated by his infidelity and the resentment it has caused in their relationship.
Willy's conflict with Biff and Happy is also driven by his desire to be a successful and respected father, but his failure to achieve this goal causes him to feel shame and resentment towards his sons. Biff, in particular, is the source of much of Willy's frustration and disappointment, as he has struggled to live up to Willy's expectations and has been unable to find his own sense of purpose in life. Happy, on the other hand, seems to embody Willy's own values and desires, and his success as a salesman only serves to highlight Willy's own failures.
Ultimately, Willy's conflict is a tragic one, as he is unable to come to terms with his own limitations and failures and is unable to find peace or happiness in his life. His conflict with himself, Linda, and his sons reflects the universal struggles that many people face as they try to find their place in the world and define their own sense of identity and purpose.