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

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  • Yubo Ni

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.

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  • Yubo Ni, 2025. "Concentration–Compactness Principle to a Weighted Moser–Trudinger Inequality and Its Application," Journal of Mathematics, Hindawi, vol. 2025, pages 1-20, August.
    • Handle: RePEc:hin:jjmath:2321264
    DOI: 10.1155/jom/2321264
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