Theoretical analysis demonstrates the existence of nontrivial weak solutions to Kirchhoff problems involving p(x)-biharmonic operators, expanding variable-exponent Sobolev space theory.
Key Points
Investigate the existence of nontrivial weak solutions for a Kirchhoff-type boundary value problem governed by a p(x)-biharmonic operator.
Formulated the non-local problem within the framework of Sobolev spaces with variable exponents.