A Collection of Geometric Nirenberg-Gagliardo Type Inequalities with Extra Terms and Applications
Abstract
Functional interpolation inequalities play a huge role in Mathematical Analysis and these inequalities are widely used in other parts of hard analysis such as Partial Differential Equations. In this article, geometric functional Nirenberg-Gagliardo type inequalities are obtained and rigorously proved. The norms that appear depend on the geometry of the domain. Additionally, applications of the Nirenberg-Gagliardo type inequalities are given to obtain estimates involving mollifier type functions which are ubiquitous in Analysis and Partial Differential Equations.
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References
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This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons Attribution 4.0 International License.
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