Desvivirse Por

 

Desvivirse por means to do anything for someone or something.  It also means to bend over backwards or fall over yourself for someone or something.  A definition in Spanish is: Mostrar incesante y vivo interés o solicitud por una persona o una cosa.

Below is an example sentence.

In the novel Marina by Carlos Ruiz Zafon, Germán Blau becomes a famous, sought-after painter. 

    "Art dealers and gallery owners who years ago hadn't had the time of day for German were now bending over backward to gain his attention."  

    "Marchantes y salas de exposiciones que años atrás no se molestaban en darle los buenos días se desvivían por congraciarse con el."