Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator

Zehra Yücedağ; Enver Ferhan

doi:10.17776/csj.1919520

Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator

Abstract

In the present paper, we are investigated an elliptic problem concerning (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic operator under Navier boundary conditions. Under some appropriate conditions, we prove the existence of at least one nontrivial weak solution using the Mountain Pass theorem together with Ambrosetti-Rabinowitz’s Condition

Keywords

(p(x), mountain pass theorem, Navier boundary problem, Variable exponents, variational methods

Thanks

We would like to thank the reviewer for their valuable comments.

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

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

Enver Ferhan
0009-0000-0375-8229
Türkiye

Publication Date

October 27, 2026

Submission Date

March 30, 2026

Acceptance Date

July 20, 2026

Published in Issue

Year 2026 Volume: 47 Number: 5

DOI

https://doi.org/10.17776/csj.1919520

IZ

https://izlik.org/JA88WH23ZY

APA

Yücedağ, Z., & Ferhan, E. (2026). Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator. Cumhuriyet Science Journal, 47(5), 996-1000. https://doi.org/10.17776/csj.1919520

AMA

1.Yücedağ Z, Ferhan E. Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator. CSJ. 2026;47(5):996-1000. doi:10.17776/csj.1919520

Chicago

Yücedağ, Zehra, and Enver Ferhan. 2026. “Existence of Solutions for a Nonlinear Elliptic Equation Involving (p(x),q(x))-Laplacian and (p(x),q(x))-Biharmonic Operator”. Cumhuriyet Science Journal 47 (5): 996-1000. https://doi.org/10.17776/csj.1919520.

EndNote

Yücedağ Z, Ferhan E (October 1, 2026) Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x) -Laplacian and (p(x),q(x) -biharmonic Operator. Cumhuriyet Science Journal 47 5 996–1000.

IEEE

[1]Z. Yücedağ and E. Ferhan, “Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator”, CSJ, vol. 47, no. 5, pp. 996–1000, Oct. 2026, doi: 10.17776/csj.1919520.

ISNAD

Yücedağ, Zehra - Ferhan, Enver. “Existence of Solutions for a Nonlinear Elliptic Equation Involving (p(x),q(x))-Laplacian and (p(x),q(x))-Biharmonic Operator”. Cumhuriyet Science Journal 47/5 (October 1, 2026): 996-1000. https://doi.org/10.17776/csj.1919520.

JAMA

1.Yücedağ Z, Ferhan E. Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator. CSJ. 2026;47:996–1000.

MLA

Yücedağ, Zehra, and Enver Ferhan. “Existence of Solutions for a Nonlinear Elliptic Equation Involving (p(x),q(x))-Laplacian and (p(x),q(x))-Biharmonic Operator”. Cumhuriyet Science Journal, vol. 47, no. 5, Oct. 2026, pp. 996-1000, doi:10.17776/csj.1919520.

Vancouver

1.Zehra Yücedağ, Enver Ferhan. Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator. CSJ. 2026 Oct. 1;47(5):996-1000. doi:10.17776/csj.1919520

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 nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator

Abstract

Keywords

Thanks

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

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