Adams' Inequality with the Exact Growth Condition in ℝ4

By Nader Masmoudi, Federica Sani. 2014

62 citations recorded by the source corpus.

Adams' inequality is an extension of the Trudinger‐Moser inequality to the case when the Sobolev space considered has more than one derivative. The goal of this paper is to give the optimal growth rate of the exponential‐type function in Adams' inequality when the problem is considered in the whole space ℝ4. © 2014 Wiley Periodicals, Inc.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7232f6830151f6775d2f3a6ab6ebe5c4ac506925

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. Federica Sani
2. Nader Masmoudi
3. Frédéric Rousset
4. Peter Constantin
5. Vlad Vicol
6. Pierre Germain
7. Markus Kliegl
8. Alexis Vasseur

In Computational Theory and Mathematics

1. Federica Sani
2. Nader Masmoudi

In Mathematical Physics

1. Federica Sani
2. Nader Masmoudi
3. Pierre Germain
4. Vlad Vicol
5. Sijue Wu
6. Marius Paicu
7. Arghir Zarnescu
8. Yasunori Maekawa

Citations in the corpus

• Trudinger-Moser Inequalities with the Exact Growth Condition in ℝ N and Applications (2015, background): “4) that, a suitable combination of the arguments proposed in the present paper together with the ideas used in [24] enables to obtain an analogue inequality also in the space W 2 N 2 N with N > 3.”