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一类次线性Schr？dinger-Maxwell方程无穷多非平凡解的存在性
The Existence of Infinitely Many Nontrivial Solutions for a Kind of Schr？dinger-Maxwell Equation with Sublinear Potentials

DOI: 10.12677/aam.2025.141014, PP. 105-111

Keywords: Schr？dinger-Maxwell方程，非平凡解，临界点理论，变分法，次线性
Schr？dinger-Maxwell Equation, Nontrivial Solutions, Critical Point Theory, Variational Methods, Sublinear Potentials

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Abstract:

本文借助变分法和临界点理论研究一类次线性Schr？dinger-Maxwell方程无穷多非平凡解的存在性问题 { ？Δu+V( x )u+α？f( u )=g( x,u ), x∈ R 3 , ？Δ？=2αF( u ), x∈ R 3 . 其中 α>0 ， V( x )∈ C 1 ( R 3 ,R ) ， V( x )>0 。在 f,g 符合相关条件下， p∈( 1,2 ) 。
In this paper, we discuss the existence of infinitely many nontrivial solutions for the following kind of sublinear Schr？dinger-Maxwell equation by using the variational

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