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

Cihan Ünal; İsmail Aydın

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

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.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Cihan Ünal This is me
0000-0002-7242-393X
Türkiye

İsmail Aydın This is me
0000-0001-8371-3185
Türkiye

Publication Date

June 1, 2018

Submission Date

June 19, 2017

Acceptance Date

March 3, 2018

Published in Issue

Year 2018 Volume: 36 Number: 2

IZ

https://izlik.org/JA29LK79MC

Cite

RIS / Bibtex

APA

Ünal, C., & Aydın, İ. (2018). WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES. Sigma Journal of Engineering and Natural Sciences, 36(2), 373-388. https://izlik.org/JA29LK79MC

AMA

1.Ünal C, Aydın İ. WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES. SIGMA. 2018;36(2):373-388. https://izlik.org/JA29LK79MC

Chicago

Ünal, Cihan, and İsmail Aydın. 2018. “WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES”. Sigma Journal of Engineering and Natural Sciences 36 (2): 373-88. https://izlik.org/JA29LK79MC.

EndNote

Ünal C, Aydın İ (June 1, 2018) WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES. Sigma Journal of Engineering and Natural Sciences 36 2 373–388.

IEEE

[1]C. Ünal and İ. Aydın, “WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES”, SIGMA, vol. 36, no. 2, pp. 373–388, June 2018, [Online]. Available: https://izlik.org/JA29LK79MC

ISNAD

Ünal, Cihan - Aydın, İsmail. “WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES”. Sigma Journal of Engineering and Natural Sciences 36/2 (June 1, 2018): 373-388. https://izlik.org/JA29LK79MC.

JAMA

1.Ünal C, Aydın İ. WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES. SIGMA. 2018;36:373–388.

MLA

Ünal, Cihan, and İsmail Aydın. “WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES”. Sigma Journal of Engineering and Natural Sciences, vol. 36, no. 2, June 2018, pp. 373-88, https://izlik.org/JA29LK79MC.

Vancouver

1.Cihan Ünal, İsmail Aydın. WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES. SIGMA [Internet]. 2018 Jun. 1;36(2):373-88. Available from: https://izlik.org/JA29LK79MC