Existence and Multiplicity of Solutions for a Biharmonic Equation with p(x)-Kirchhoff Type

Abstract

Based on the basic theory and critical point theory of variable exponential Lebesgue Sobolev space, this paper investigates the existence and multiplicity of solutions for a class of nonlocal elliptic equations with Navier boundary value conditions when (AR) condition does not hold and improves or generalizes the original conclusions.

Existence and multiplicity of solutions for α(x)-Kirchhoff Equation with indefinite weights

“…The constants a and b satisfy a > 0 and b ≥ 0. In [32] the authors proved an existence and multiplicity result for the above nonlocal elliptic equation by using the basic theory and critical point theory of variable exponential Lebesgue Sobolev spaces.…”