In this paper, we study the existence and multiplicity of solutions for the following fractional Schrodinger-Poisson system：（{ε2S（-△）Su＋V（x）u＋φu=｜u｜2＊s-2＋f（u）in R3ε2s（-△）sφ=u in R3（0.1）where 3/...In this paper, we study the existence and multiplicity of solutions for the following fractional Schrodinger-Poisson system：（{ε2S（-△）Su＋V（x）u＋φu=｜u｜2＊s-2＋f（u）in R3ε2s（-△）sφ=u in R3（0.1）where 3/4〈s〈1,2＊：＋6/3-2s）is the fractional critical exponent for 3-dimension, the potential V ： R3→ R is continuous and has global minima, and f is continuous and supercubic but subcritical at infinity. We prove the existence and multiplicity of solutions for System （0.1） via variational methods.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11361078 and 11661083)
文摘In this paper, we study the existence and multiplicity of solutions for the following fractional Schrodinger-Poisson system：（{ε2S（-△）Su＋V（x）u＋φu=｜u｜2＊s-2＋f（u）in R3ε2s（-△）sφ=u in R3（0.1）where 3/4〈s〈1,2＊：＋6/3-2s）is the fractional critical exponent for 3-dimension, the potential V ： R3→ R is continuous and has global minima, and f is continuous and supercubic but subcritical at infinity. We prove the existence and multiplicity of solutions for System （0.1） via variational methods.
