Existence of sign-changing solutions for a class of p-Laplacian Kirchhoff-type equations

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ABSTRACTIn this paper, we investigate the existence of least energy sign-changing solutions for the following p-Laplacian Kirchhoff type equation where are constants, are positive continuous functions which vanish at infinity, the nonlinearity f is a function with a subcritical growth. Using a minimization argument and the Nehari manifold method, we prove the existence of a least energy sign-changing solution to this problem.