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

Mathematical Methods in the Applied Sciences 2026 Open access

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Authors: Youssef Fadil, Mohamed El Ouaarabi, Mohamed Oukessou
DOI: 10.1002/mma.70451
Cited by: 0
References: 19

Abstract

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.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Contact Mechanics and Variational Inequalities Geometric Analysis and Curvature Flows

Publication details

Journal / source
Mathematical Methods in the Applied Sciences
Volume
49
Issue
8
Pages
7886–7899
Publication date
2 January 2026
Language
EN