Jianqing Chen, Lirong Huang, Eugenio M. Rocha
This article concerns the existence of ground state and bound states, and the study of their bifurcation properties for the Schrodinger-Poisson system
Under suitable assumptions on the coefficient h(x), we prove that the ground state must bifurcate from zero, and that another bound state bifurcates from a solution, when is the first eigenvalue of in .
Submitted April 22, 2018. Published February 18, 2019.
Math Subject Classifications: 35J20, 35J70.
Key Words: Ground state and bound states; bifurcation properties; Schrodinger-Poisson system; variational method.
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| Jianqing Chen |
College of Mathematics and Informatics & FJKLMAA
Fujian Normal University
Qishan Campus, Fuzhou 350108, China
| Lirong Huang |
College of Mathematics and Physics
Fujian Jiangxia University
Fuzhou 350108, China
| Eugénio M. Rocha |
Department of Mathematics
University of Aveiro, 3810-193
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