General:
* Empowerment of the poor
* Elevation of the poor
* Improvement of the lives of the poor
* Social mobility of the poor
* Economic development of the poor
* Poverty reduction
* Social justice
More specific:
* Access to education for the poor
* Access to healthcare for the poor
* Decent housing for the poor
* Job creation for the poor
* Microfinance for the poor
More evocative:
* Liberation of the poor
* Transformation of the lives of the poor
* Breaking the cycle of poverty
The best choice will depend on the specific context and the nuance you want to convey. For example, if you are talking about the importance of education in lifting people out of poverty, then "access to education for the poor" might be the most appropriate phrase.