Existence of solutions for a Kirchhoff problem involving p(x) - biharmonic operator

Zehra Yücedağ; İlknur Gürbüz

doi:10.17776/csj.1908124

Existence of solutions for a Kirchhoff problem involving p(x) - biharmonic operator

Abstract

This article is dealt with a Kirchhoff problem involving p(x) - biharmonic operator. By means of the Variational method and Ekeland’s variational principle, we establish the existence of a nontrivial weak solution in Sobolev spaces with variable exponent under some appropriate condition.

Keywords

Ekeland’s variational principle, Kirchhoff problem, p(x)-biharmonic operator, weak solution, Variational method.

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Zehra Yücedağ ^*
0000-0003-1950-0163
Türkiye

İlknur Gürbüz
0009-0006-7678-1343
Türkiye

Publication Date

August 31, 2026

Submission Date

March 12, 2026

Acceptance Date

July 11, 2026

Published in Issue

Year 2026 Volume: 47 Number: 4

DOI

https://doi.org/10.17776/csj.1908124

IZ

https://izlik.org/JA62YX73RE

APA

Yücedağ, Z., & Gürbüz, İ. (2026). Existence of solutions for a Kirchhoff problem involving p(x) - biharmonic operator. Cumhuriyet Science Journal, 47(4), 748-754. https://doi.org/10.17776/csj.1908124

AMA

1.Yücedağ Z, Gürbüz İ. Existence of solutions for a Kirchhoff problem involving p(x) - biharmonic operator. CSJ. 2026;47(4):748-754. doi:10.17776/csj.1908124

Chicago

Yücedağ, Zehra, and İlknur Gürbüz. 2026. “Existence of Solutions for a Kirchhoff Problem Involving P(x) - Biharmonic Operator”. Cumhuriyet Science Journal 47 (4): 748-54. https://doi.org/10.17776/csj.1908124.

EndNote

Yücedağ Z, Gürbüz İ (August 1, 2026) Existence of solutions for a Kirchhoff problem involving p(x) - biharmonic operator. Cumhuriyet Science Journal 47 4 748–754.

IEEE

[1]Z. Yücedağ and İ. Gürbüz, “Existence of solutions for a Kirchhoff problem involving p(x) - biharmonic operator”, CSJ, vol. 47, no. 4, pp. 748–754, Aug. 2026, doi: 10.17776/csj.1908124.

ISNAD

Yücedağ, Zehra - Gürbüz, İlknur. “Existence of Solutions for a Kirchhoff Problem Involving P(x) - Biharmonic Operator”. Cumhuriyet Science Journal 47/4 (August 1, 2026): 748-754. https://doi.org/10.17776/csj.1908124.

JAMA

1.Yücedağ Z, Gürbüz İ. Existence of solutions for a Kirchhoff problem involving p(x) - biharmonic operator. CSJ. 2026;47:748–754.

MLA

Yücedağ, Zehra, and İlknur Gürbüz. “Existence of Solutions for a Kirchhoff Problem Involving P(x) - Biharmonic Operator”. Cumhuriyet Science Journal, vol. 47, no. 4, Aug. 2026, pp. 748-54, doi:10.17776/csj.1908124.

Vancouver

1.Zehra Yücedağ, İlknur Gürbüz. Existence of solutions for a Kirchhoff problem involving p(x) - biharmonic operator. CSJ. 2026 Aug. 1;47(4):748-54. doi:10.17776/csj.1908124

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Existence of solutions for a Kirchhoff problem involving p(x) - biharmonic operator

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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