publication . Article . 2021

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

Moulay Rchid Sidi Ammi; Ibrahim Dahi;
Open Access
  • Published: 01 Jun 2021 Journal: General Letters in Mathematics, volume 10, pages 31-37 (issn: 2519-9269, eissn: 2519-9277, Copyright policy)
  • Publisher: Refaad for Studies and Research
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).
Persistent Identifiers
free text keywords: sobolev spaces with variable exponent, density, poincare inequality, nemytskii operator, Mathematics, QA1-939
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