Nontrivial Weak Solutions for Elliptic Navier Problems With q(z)$$ q(z) $$‐Kirchhoff‐Type Triharmonic Operator

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.