2000 character limit reached
Anisotropic Improved Leray-Trudinger Inequality (2506.16167v1)
Published 19 Jun 2025 in math.AP
Abstract: We establish a Leray- Trudinger Type inequality in the anisotropic setting induced by a strongly convex Finsler norm F. The result generalizes classical exponential integrability inequalities for Sobolev functions to the framework of anisotropic Sobolev spaces $W{1,n}_0(\Omega)$, where the standard Euclidean norm is replaced by F and associated polar norm $Fo$. Moreover, in the class of anisotropically radial functions, we obtain the optimal constant in the spirit of Moser's sharp inequality.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.