Some Fractional Functional Inequalities and Applications to Some Constrained Minimization Problems Involving a Local Non-linearity

Details Some Fractional Functional Inequalities and Applications to Some Constrained Minimization Problems Involving a Local Non-linearity Some Fractional Functional Inequalities and Applications to Some Constrained Minimization Problems Involving a Local Non-linearity

2011-04-07

arxiv.org/abs/1104.1414v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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

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