In a large pot over high heat, add olive oil, onions and garlic. Cook for a couple of minute until the onions are translucent and slowly add kale, one handful at a time while stirring. When the kale has soften, add sweet potatoes and stir. Add celery, corn, chicken broth and bring to a boil.
Lower heat to a simmer, cover and cook for 30 minutes, or until vegetables are tender.