Department of Mathematics
Beijing Jiaotong University
Beijing 100044, China
email: 19118003@bjtu.edu.cn
Department of Mathematics
Beijing Jiaotong University
Beijing 100044, China
email: shzhzheng@bjtu.edu.cn
Xiaolu Lin, Shenzhou Zheng
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→∞.
Submitted May 4, 2022. Published November 28, 2022.
Math Subject Classifications: 35A15, 35B33, 35R11.
Key Words: Mixed local and nonlocal operator; Schrodinger-Poisson type system;
multiple solutions; asymptotic behavior; symmetric mountain pass lemma.
DOI: https://doi.org/10.58997/ejde.2022.81
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Xiaolu Lin Department of Mathematics Beijing Jiaotong University Beijing 100044, China email: 19118003@bjtu.edu.cn |
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Shenzhou Zheng Department of Mathematics Beijing Jiaotong University Beijing 100044, China email: shzhzheng@bjtu.edu.cn |
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