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Peer-reviewedCC BY-NCCumhuriyet Science Journal

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

  • Zehra Yücedağ1
  • Enver Ferhan
  1. 1DICLE UNIVERSITY
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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

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Cite

BibTeXRIS
BibTeX
@article{yucedag2026existence,
  title = {{Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator}},
  author = {Zehra Yücedağ and Enver Ferhan},
  journal = {Cumhuriyet Science Journal},
  year = {2026},
  month = oct,
  doi = {10.17776/csj.1919520},
  url = {https://doi.org/10.17776/csj.1919520},
  note = {CC BY-NC},
}
RIS
TY  - JOUR
TI  - Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator
AU  - Zehra Yücedağ
AU  - Enver Ferhan
PY  - 2026
DA  - 2026/10/01
JO  - Cumhuriyet Science Journal
DO  - 10.17776/csj.1919520
UR  - https://doi.org/10.17776/csj.1919520
AB  - 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
SN  - 2587-2680
SN  - 2587-246X
ER  -