Possible Clues:

• To be, to Satie
• Synonym of ''exister''
• Word repeated in a French Hamlet's soliloquy
• Raison d'___ (life's purpose)
• Word repeated by a French Hamlet
• 17-Down, in French
• French auxiliary
• Raison d’___
• Peut-___ (perhaps): Fr.
• 'To be,' in French