desvivirse

Desvivirse por means to go to great lengths for someone or something, to dote on them — literally suggesting you'd 'live yourself out' for their sake. It's warm, complimentary vocabulary for describing someone's devotion, most often to family, friends, or a cause they care about.

• Los profesores se desviven por sus alumnos en ese colegio. — The teachers at that school go above and beyond for their students.
• Se desvive por ayudar a los vecinos cuando lo necesitan. — He's endlessly willing to help the neighbors when they need it.
• Nos desvivimos por conseguirle una entrada para el concierto. — We went to great lengths to get her a ticket to the concert.

Using desvivirse for ordinary effort — it's reserved for notably selfless devotion, not just "trying hard"; for everyday effort, esforzarse is the neutral choice.