Infinitely many high energy radial solutions for a class of nonlinear Schrödinger–Poisson systems in R3

On a Schrödinger–Poisson system with singularity and critical nonlinearities

“…We can learn more details about physical background from [2,3] and the references therein. System (1.2) has been extensively studied, focusing on the existence of positive solutions, multiplicity of solutions, ground state solutions, sign-changing solutions, radial solutions, by using the variational methods and critical point theory under various assumptions of potential V and nonlocal term f , see for example [4][5][6][7][8][9][10][11][12][13][14][15][16][17] and the references therein. In addition, existence and multiplicity of the Schrödinger-Poisson problem in a bounded domain has been paid attention to by many authors, we can see [18][19][20][21][22][23][24].…”

Positive Solutions for Schrödinger-Poisson Systems with Sign-Changing Potential and Critical Growth

“…where the potentials VðxÞ, kðxÞ satisfy some mild conditions. The existence, uniqueness, and multiplicity of positive solutions of systems like (2) have been extensively studied in the last few decades, such as [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Furthermore, the Schrödinger-Poisson systems involving critical growth have been attracted many researchers, e.g., [15][16][17][18][19][20][21][22][23][24].…”

Infinitely Many Solutions of Schrödinger-Poisson Equations with Critical and Sublinear Terms

“…When λ = 1 in system (2), Azzollini and Pomponio [19] established the existence of ground state solution for p ∈ ð2, 5Þ. For related system and more results, please refer readers to see [20][21][22][23][24][25][26][27][28].…”