Mixed local and nonlocal Schrödinger-Poisson type system involving variable exponents
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Date
2022-11-28
Authors
Lin, Xiaolu
Zheng, Shenzhou
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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 λ→∞.
Description
Keywords
Mixed local and nonlocal operator, Schrödinger-Poisson type system, Multiple solutions, Asymptotic behavior, Symmetric mountain pass lemma
Citation
Lin, 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.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.