Multiplicity results for sixth-order nonlinear elliptic equations involving the p ( x )-triharmonic operator with Navier conditions

Key Points

• The research aims to explore multiplicity results for sixth-order nonlinear elliptic equations involving the p(x)-triharmonic operator under Navier boundary conditions.
• Analysis of the sixth-order nonlinear elliptic equation framework
• Application of variational techniques for multiplicity
• Examination of boundary conditions to derive solution existence
• Identified multiple solution branches for the nonlinear elliptic equations
• Showed the influence of Navier conditions on solution behavior
• Established criteria under which multiple solutions exist