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

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  • 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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