We prove the existence of infinitely many sign-changing radial solutions for a p-sub-super critical p-Laplacian Dirichlet problem in a ball. We consider an equation defined by the p-Laplacian operator perturbed by a nonlinearity g(u) that is p-subcritical at \(+\,\infty \) and p-supercritical at \(-\,\infty \). Our results extend those in Castro et al. (Electron. J. Differ. Equ. 2007(111):1–10, 2007) for the corresponding semilinear case and those of El Hachimi and De Thelin (J. Differ. Equ. 128:78–102, 1996) where the subcritical case was studied.

我们证明了无穷多的变号径向解的存在性p -sub-超临界p中一球-Laplacian Dirichlet问题。我们考虑由所定义的方程p -Laplacian操作者通过扰动非线性克（Û），其是p在-subcritical \（+ \，\ infty \）和p -supercritical在\（ - \，\ infty \） 。我们的结果扩展了Castro等人的研究。（Electron。J. Differ。Equ。2007（111）：1-10，2007）以及相应的半线性情况以及El Hachimi和De Thelin的情况（J. Differ。Equ。128：78–102，1996），其中研究了亚临界情况。