It is absolutely essential that William _____ his study in spite of some learning difficulties.
句意: 尽管在学习上碰到困难, 威廉应该继续他的学业, 这非常重要。 固定句型"It is essential that+从句", 从句中要用虚拟语气,即谓语动词要用"should+动词原形", should可以省略。 因此C项正确。