This paper is devoted to the 4-superlinear Schrödinger–Kirchhoff equation where , . The potential here is indefinite so that the Schrödinger operator possesses a finite-dimensional negative space. By using the Morse theory, we obtain nontrivial solutions for this problem.

中文翻译：

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具有不确定电位的4-超线性Schrödinger-Kirchhoff方程的非平凡解

本文致力于4超线性Schrödinger–Kirchhoff方程 在哪里 ， 。这里的潜力是无限的，因此Schrödinger算子拥有一个有限维的负空间。通过使用摩尔斯理论，我们获得了该问题的非平凡解。