Existence of Multiple Solutions for Nonlocal Fourth-Order Kirchhoff-Type Elliptic Equations with Hardy Potential
Keywords:
Multiple solutions; Kirchhoff-type equation; Hardy potential; Variational techniques.Abstract
This study explores the presence of multiple weak solutions for a class of perturbed nonlocal fourth-order Kirchhoff-type elliptic equations incorporating a Hardy potential under Navier boundary conditions. By employing variational techniques and leveraging Ricceri’s three critical points theorem, we establish results on the existence of multiple weak solutions. These results are derived under specific growth conditions on the nonlinear reaction term f. We provide algebraic conditions on the nonlinear components to ensure the existence of multiple solutions and illustrate our findings with a concrete example.
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