Question
what benefits or problems are apparent from growing  vegetables with epsom salts  

Answer
Epsom salts are a primary source of magnesium for the garden.  I spray a solution of 3 tsp. per gallon of water on my roses, annuals, and vegetables once every 14 days.  

I have also found epsom salts to prevent blossom-end rot on tomatoes, a common disease in late spring due to the wet weather depleting the soil of calcium and magnesium.  I place three tbs. in each planting hole prior to transplanting my tomato seedlings.  I then mix it thoroughly with the soil, and then plant the tomatoes 2" deeper than their depth in the seedling pot.  Since taking this precaution, I have had no problems with end rot.

I really know of no down side to using epsom salts.  Just be careful to follow the solutions I listed above to avoid adding too much salt to the soil.  If you use excessive amounts, you could damage the roots of young seedlings.

I hope this answered your question.  Have a nice evening.

Regards,

Mike