Improved Moser-Trudinger Inequality Involving Lp Norm in n Dimensions

By Jiuyi Zhu. 2014

51 citations recorded by the source corpus.

Abstract The paper is concerned about an improvement of Moser-Trudinger inequality involving Lp norm for a bounded domain in n dimensions. Let be the first eigenvalue associated with n-Laplacian. We obtain the following strengthened Moser-Trudinger inequality with blow-up analysis for 0 ≤ α < λ̅(Ω) and 1 < p ≤ n, and the supremum is infinity for α ≥ λ̅(Ω), where and ωn−1 is the surface area of the unit ball in ℝn. We also obtain the existence of the extremal functions for (0.2).

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9f2377bc41114e606bd0158022c77050b185b99c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Xiaobao Zhu
2. Y. Yang
3. G. Lu
4. Nguyen Huong Lam
5. Caifeng Zhang
6. Federica Sani

In Computational Theory and Mathematics

1. Xiaobao Zhu
2. Y. Yang
3. G. Lu
4. Nguyen Huong Lam
5. Caifeng Zhang
6. Federica Sani

In Mechanics of Materials

1. Xiaobao Zhu
2. Y. Yang

Citations in the corpus

• Blow-up analysis concerning singular Trudinger–Moser inequalities in dimension two (2016, background): “mber 28, 2016 Moreover the supremum is infinity for any α ≥ λ1(Ω). This result was extended by Y. Yang [28, 29] to the cases of high dimension and compact Riemannian surface, by Lu-Yang[19] and J. Zhu [38] to the version of Lp-norm, by de Souza and J. M. doO [11, 13] to the whole Euclidean´ space, an”