Generalization of Poincar ´e inequality in a Sobolev Space with exponent constant to the case of Sobolev space with a variable exponent

doi:https://doi.org/10.31559/glm2021.10.2.3

Volume 10 - Issue 2 (3) | PP: 31 - 37 Language : English
DOI : https://doi.org/10.31559/glm2021.10.2.3

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Generalization of Poincar ´e inequality in a Sobolev Space with exponent constant to the case of Sobolev space with a variable exponent

Received Date	Revised Date	Accepted Date	Publication Date
3/5/2021	15/6/2021	30/7/2021	15/8/2021

Abstract

In this work, we study the Poincare inequality in Sobolev spaces with variable exponent. As a consequence of this ´ result we show the equivalent norms over such cones. The approach we adopt in this work avoids the difficulty arising from the possible lack of density of the space C∞ 0 (Ω).

Keywords: Sobolev spaces with variable exponent, Density, Poincare inequality, Nemytskii operator

How To Cite This Article

Ammi , M. R. S. & Dahi , I. (2021). Generalization of Poincar ´e inequality in a Sobolev Space with exponent constant to the case of Sobolev space with a variable exponent . General Letters in Mathematics, 10 (2), 31-37, 10.31559/glm2021.10.2.3

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