含变指数的混合局部和非局部Schrodinger-Poisson型系统

IF 1 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2022-11-28 DOI:10.58997/ejde.2022.81

Xiaolu Lin, Shenzhou Zheng

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引用次数: 2

摘要

考虑了一类具有混合局域和非局域p-拉普拉斯算子的薛定谔-泊松型方程解的存在性。更确切地说，我们用变分方法得到了涉及变指数增长问题的两个不同的非平凡解。此外，还研究了溶液的浓度和多重现象\(\lambda\to \infty\)。

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Mixed local and nonlocal Schrodinger-Poisson type system involving variable exponents

We consider the existence of solutions for a class of Schrodinger-Poisson type equations with mixed local and nonlocal p-Laplacian. More precisely, we obtain two distinct nontrivial solutions for the problem involving variable exponents growth by the variational methods. Moreover, the phenomena of concentration and multiplicity of solutions are also investigated as \(\lambda\to \infty\).

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.