Lin, XiaoluZheng, Shenzhou2023-05-152023-05-152022-11-28Lin, X., & Zheng, S. (2022). Mixed local and nonlocal Schrödinger-Poisson type system involving variable exponents. <i>Electronic Journal of Differential Equations, 2022</i>(81), pp. 1-17.1072-6691https://hdl.handle.net/10877/16805We 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 λ→∞.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalMixed local and nonlocal operatorSchrödinger-Poisson type systemMultiple solutionsAsymptotic behaviorSymmetric mountain pass lemmaArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.