一类带奇异系数p(x)-Kirchhoff型问题解的存在性

Existence of Solutions for p(x)-Kirchhoff Type Equations with Singular Coefficients in R^N

利用变分方法和变系数的Sobolev空间中的相关定理研究了一类带奇异系数的p(x)-Kirchhoff型问题解的存在性和多解性.

In this paper, we study the existence of infinite solutions to the p （x）-Kirchhofftype equations with singular coefficients in RN. By means of a direct variational approach and the theory of the variable exponent Sobolev spaces, we establish conditions ensuring the existence and multiplicity of solutions for the problem.