Multiple Solutions for a Class of Degenerate Kirchhoff‐Type Equations With Logarithmic Nonlinearity

ABSTRACT This article is to study the existence of multiple solutions for the following degenerate Kirchhoff‐type equation with logarithmic nonlinearity: where is a smooth bounded domain in . By using the variational methods and appropriate hypotheses of and , we get two positive solutions for the case of , a positive ground state solution and a sequence of high energy solutions for . Our results generalize and improve some recent results in the literature.