Some Fractional Functional Inequalities and Applications to Some Constrained Minimization Problems Involving a Local Non-linearity
Functional Analysis
2011-04-08 v1
Abstract
In this paper we prove the Fractional Gagliardo-Nirenberg Inequality, Polya-Szego Inequality and the Sharp Fractional Sobolev Inequality, we then provide an application of such inequalities in a constraiend variational problem involving the fractional gradient and alocal non-linearity
Keywords
Cite
@article{arxiv.1104.1414,
title = {Some Fractional Functional Inequalities and Applications to Some Constrained Minimization Problems Involving a Local Non-linearity},
author = {Hichem Hajaiej},
journal= {arXiv preprint arXiv:1104.1414},
year = {2011}
}
Comments
10 pages