article · Mathematical Methods in the Applied Sciences
ABSTRACT In this article, we investigate the existence of nontrivial weak solutions for an elliptic problem characterized by a ‐Kirchhoff‐type triharmonic operator and a concave‐convex nonlinearity under Navier boundary conditions. By employing a variational approach and leveraging the theory of variable exponent Lebesgue‐Sobolev spaces, we derive conditions that ensure the existence of these solutions.
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DOI: 10.1002/mma.70451
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