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

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

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)

Bibliographic Details
Main Authors: Moulay Rchid Sidi Ammi, Ibrahim Dahi
Format: Article
Language:English
Published: Refaad 2021-06-01
Series:General Letters in Mathematics
Subjects:
sobolev spaces with variable exponent
density
poincare inequality
nemytskii operator
Online Access:https://www.refaad.com/Files/GLM/GLM-10-2-3.pdf

Internet

https://www.refaad.com/Files/GLM/GLM-10-2-3.pdf

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