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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 36 Issue: 2

WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES

Cihan Ünal(SINOP UNIVERSITY)0000-0002-7242-393X
İsmail Aydın(SINOP UNIVERSITY)0000-0001-8371-3185
Pages
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Publication Date
2018-06-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We will introduce a capacity in sense to this defined space and, also, give several estimates.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we define weighted variable exponent Sobolev space with zero boundary values and investigate some properties of this space with weighted variable Sobolev capacity.
📊
Key Findings & Data:We obtain Poincaré inequality with respect to zero boundary values.
💡
Conclusion & Impact:We will introduce a capacity in sense to this defined space and, also, give several estimates.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Weighted variable exponent Sobolev spaces · Sobolev capacity · energy integral.

Abstract

In this paper, we define weighted variable exponent Sobolev space with zero boundary values and investigate some properties of this space with weighted variable Sobolev capacity. We obtain Poincaré inequality with respect to zero boundary values. We will introduce a capacity in sense to this defined space and, also, give several estimates.

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Cite This Article

Ünal, C., Aydın, İ. (2018). WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 36 Issue: 2. https://ajindex.com/articles/1345090

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