Extremal Functions for the Singular Moser-Trudinger Inequality in 2 Dimensions
Gyula Csato, Prosenjit Roy
TL;DR
This paper proves the existence of an extremal function for a singular Moser-Trudinger inequality in two dimensions, advancing understanding of critical exponential growth in functional analysis.
Contribution
It establishes the existence of extremal functions for a specific singular Moser-Trudinger inequality in 2D, which was previously unresolved.
Findings
Existence of extremal functions confirmed
Advances the theory of singular Moser-Trudinger inequalities
Provides new insights into critical exponential growth in analysis
Abstract
In this article we prove the existence of an extremal function for a singular Moser-Trudinger inequality, due to Adimurthi- Sandeep, in 2 dimensions.
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