The rash on buttocks is not itchy, is burning when walk, and when I cool down the skin is gone, I have fungal infection but is gone, now is like heat?

Pinched nerve. You may have a serious spine problem that is causing pressure or damage to the nerves coming from the spine to where your skin is "burning".
See doctor. For evaluation, diagnosis and treatment. We cannot diagnose this rash over the internet.

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