Elliptic equations and systems with critical Trudinger-Moser nonlinearities
By Djairo G. De Figueiredo, J. Marcos do Ó, Bernhard Ruf. 2011
93 citations recorded by the source corpus.
In this article we give first a survey on recent results on some Trudinger-Moser type inequalities, and their importance in the study of nonlinear elliptic equations with nonlinearities which have critical growth in the sense of Trudinger-Moser. Furthermore, recent results concerning systems of such equations will be discussed.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/299a2cdf6993a5761dc80abbda3d81ec959fa76c
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In Applied Mathematics
- Federica Sani
- Nader Masmoudi
- Frédéric Rousset
- Peter Constantin
- Vlad Vicol
- Pierre Germain
- Markus Kliegl
- Alexis Vasseur
In Computational Theory and Mathematics
In Mathematical Physics
- Federica Sani
- Nader Masmoudi
- Pierre Germain
- Vlad Vicol
- Sijue Wu
- Marius Paicu
- Arghir Zarnescu
- Yasunori Maekawa
Citations in the corpus
- Adams' Inequality with the Exact Growth Condition in ℝ4 (2014, background): “The goal of this paper is to give the optimal growth rate of the exponential -type function when the problem is considered in the whole space R4.”