Concentration–Compactness Principle to a Weighted Moser–Trudinger Inequality and Its Application

Yubo Ni

Journal of Mathematics, 2025, vol. 2025, 1-20

Abstract: We employ level-set analysis of functions to establish a sharp concentration–compactness principle for the Moser–Trudinger inequality with power weights in R+2. Furthermore, we systematically prove the existence of ground state solutions to the associated nonlinear partial differential equation.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2321264

DOI: 10.1155/jom/2321264

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