http://oaadonline.oxfordlearnersdictionaries.com/dictionary/run run up against something
: to experience a difficulty
- The government is running up against considerable opposition to its tax reforms.
http://oaadonline.oxfordlearnersdictionaries.com/dictionary/come come up against someone/something
: [no passive] to be faced with or opposed by someone or something
- We expect to come up against a lot of opposition to the plan.
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Do "come up against something" and "run up against something" mean the same thing?