Abstract
In this paper, we study the singularly perturbed problem for the Schrödinger–Poisson equation with critical growth. When the perturbed coefficient is small, we establish the relationship between the number of solutions and the profiles of the coefficients. Furthermore, without any restriction on the perturbed coefficient, we obtain a different concentration phenomenon. Besides, we obtain an existence result.
Funder
Natural Science Foundation of Shandong Province
Fundamental Research Funds for the Central Universities
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)