| Abstract: |
| In this talk, we will introduce the Moser-Trudinger inequality when it involves a Finsler-Laplacian operator that is associated with functionals containing $F^2(\nabla u)$. Here $F$ is convex and homogeneous of degree $1$, and its polar $F^o$ represents a Finsler metric on $\R^n$. We will show an existence result on the extremal functions for this sharp geometric inequality. |
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