SOLUTIONS TO NON-HOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM INVOLVING A (P, Q)-LAPLACIAN OPERATOR
Abstract
In this paper, we consider the following generalized Schrödinger-Poisson system $ \begin{equation*} \left\{ \begin{array}{ll} -\Delta_p u-\Delta_q u+|u|^{p-2}u+\lambda\phi |u|^{s-2}u=|u|^{l-2}u+f(x)\ \ &\text{in}\ \mathbb{R}^3,\\ -\Delta_r\phi=|u|^s &\hbox{in} \ \mathbb{R}^3,\\ \end{array}\right. \end{equation*} $ where $ p,q,r\in(1,3) $ with $ p
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Journal of Applied Analysis & Computation
- Volume
- 16
- Issue
- 4
- Pages
- 1923–1950
- Publication date
- 1 January 2026
- Language
- EN