带双临界项的薛定谔–泊松方程非平凡解的非存在性
The Nonexistent of Nontrivial Solutions for the SchrO¨dinger-Poisson Equation with Double Critical Terms
DOI: 10.12677/PM.2023.139260, PDF,   
作者: 万优艳：江汉大学人工智能学院，湖北 武汉 ；万定康：中国农业大学信息与电气工程学院，北京
关键词: 薛定谔–泊松方程；变分法；积分理论；SchrO¨dinger-Poisson Equation； Variation Method； Integral Theory
摘要: 本文研究了带双临界项的薛定谔–泊松方程非平凡解的非存在性。利用变分法和积分理论，证明了当参数λ充分大时，该方程不存在非平凡解。
Abstract: In this paper, we study the nonexistence of nontrivial solutions for the Schrödinger-Poisson equa-tion with double critical terms. By using the variational method and integral theory, it is obtained that this equation has no nontrivial solutions with the parameters λ sufficiently large.
文章引用：万优艳, 万定康. 带双临界项的薛定谔–泊松方程非平凡解的非存在性[J]. 理论数学, 2023, 13(9): 2560-2563. https://doi.org/10.12677/PM.2023.139260

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