In this article, we consider the mixed local and nonlocal critical Schrodinger-Kirchhoff-Poisson type system with logarithmic perturbation $$\displaylines{ - M(\int_{\Omega}|\nabla u|^2\,dx)\Delta u+a(-\Delta)^{s}u+\lambda\phi u =\eta |u|^{q-2}u\ln|u|^2+|u|^4u, \quad \text{in }\Omega, \cr -\Delta\phi=u^2,\quad \text{in }\Omega,\cr \phi=u=0,\quad \text{in } \mathbb{R}^3\setminus\Omega. }$$ where \(\Omega\subset\mathbb{R}^3\) is a bounded domain with smooth boundary, \(0
Submitted August 8, 2025. Published October 6, 2025.
Math Subject Classifications: 35M12, 35R11, 35A15, 35B33.
Key Words: Ground state solution; mixed local-nonlocal operators;
logarithmic nonlinearity; Schrodinger-Kirchhoff-Poisson system.
DOI: 10.58997/ejde.2025.93
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Shengbing Deng School of Mathematics and Statistics Southwest University Chongqing 400715, China email: shbdeng@swu.edu.cn |
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Guorong Zeng School of Mathematics and Statistics Southwest University Chongqing 400715, China email: grzengmath@163.com |
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