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Breathing difficulty in high altitudes is a normal phenomenon. It is due to low Oxygen
It has no relation to oesophagus.
How high is it? How fast you go? How long to stay? Is the basic lung function at sea level OK?What was the investigation you did for lungs? Spirometry? Depending on these, there are preventive and treatment techniques. Pulmonologist can assess and assist.
Wishing speedy recovery