Multiple positive solutions for superlinear Kirchhoff type problems on R^N

Abstract

By using critical point theory, we establish the existence of infinitely many weak solutions for a class of Navier boundary-value problem depending on two parameters and involving the p(x)-biharmonic operator. Under an appropriate oscillatory behaviour of the nonlinearity and suitable assumptions on the variable exponent, we obtain a sequence of pairwise distinct solutions.

Keywords

• Ricceri's variational principle
• infinitely many solutions
• Navier condition
• p(x)-biharmonic operator