一类Schrödinger-Maxwell系统解的存在性

杨国翠; 周见文; 段胜忠

doi:10.7540/j.ynu.20200480

杨国翠, 周见文, 段胜忠. 一类Schrödinger-Maxwell系统解的存在性[J]. 云南大学学报(自然科学版), 2021, 43(3): 437-443. doi: 10.7540/j.ynu.20200480

引用本文:

杨国翠, 周见文, 段胜忠. 一类Schrödinger-Maxwell系统解的存在性[J]. 云南大学学报(自然科学版), 2021, 43(3): 437-443. doi: 10.7540/j.ynu.20200480

YANG Guo-cui, ZHOU Jian-wen, DUAN Sheng-zhong. Existence of nontrivial solutions for a class of Schrödinger-Maxwell system[J]. Journal of Yunnan University: Natural Sciences Edition, 2021, 43(3): 437-443. DOI: 10.7540/j.ynu.20200480

Citation:

YANG Guo-cui, ZHOU Jian-wen, DUAN Sheng-zhong. Existence of nontrivial solutions for a class of Schrödinger-Maxwell system[J]. Journal of Yunnan University: Natural Sciences Edition, 2021, 43(3): 437-443. DOI: 10.7540/j.ynu.20200480

一类Schrödinger-Maxwell系统解的存在性

Existence of nontrivial solutions for a class of Schrödinger-Maxwell system

摘要

摘要: 在恰当的工作空间上构造一类Schrödinger-Maxwell系统的变分泛函，应用临界点理论研究其解的存在性. 在位势函数和非线性项更为一般的假设条件下，获得解的存在性结果.

Abstract: We construct a variational functional for a class of Schrödinger Maxwell systems in an appropriate workspace, and study the existence of solutions by using critical point theory. Under more general assumptions of potential function and nonlinear term, the existence of solutions is obtained.

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