Analysis establishes a concentration–compactness principle for the Moser–Trudinger inequality, indicating solutions exist for the related partial differential equation.
We employ level‐set analysis of functions to establish a sharp concentration–compactness principle for the Moser–Trudinger inequality with power weights in . Furthermore, we systematically prove the existence of ground state solutions to the associated nonlinear partial differential equation.
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Yubo Ni (2025) studied this question.
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