具有临界贝里斯基-狮子非线性的准线性薛定谔方程的基态解

Pub Date : 2024-05-28 DOI:10.1007/s10986-024-09635-1

Jian-Xin Han, Ming-Chao Chen, Yan-Fang Xue

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引用次数: 0

摘要

我们考虑的是涉及临界增长时一般非线性的准线性薛定谔方程。通过使用 Jeanjean 的单调性技巧和 Pohozaev 特性，我们得到了存在性结果，这些结果概括了早先的工作 [H. Liu and L. Zhao, Existence results for quasilinear Schrödinger equations with general nonlinearity at the critical growth]。Liu and L. Zhao, Existence results for quasilinear Schrödinger equations with a general nonlinearity, Commun. Pure Appl.纯应用分析，19(6):3429-3444, 2020]有关亚临界情况到临界情况的存在性结果。

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Ground state solutions for quasilinear Schrödinger equations with critical Berestycki–Lions nonlinearities

We consider the quasilinear Schrödinger equation involving a general nonlinearity at critical growth. By using Jeanjean’s monotonicity trick and the Pohozaev identity we get the existence results that generalize an earlier work [H. Liu and L. Zhao, Existence results for quasilinear Schrödinger equations with a general nonlinearity, Commun. Pure Appl. Anal., 19(6):3429–3444, 2020] about the subcritical case to the critical case.

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