期刊论文

Li, Gongbao

英文

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

1239-629X

2015

40

2

729-766

10.5186/aasfm.2015.4041

This work was supported by Natural Science Foundation of China (Grant No. 11371159), Hubei Key Laboratory of Mathematical Sciences and Program for Changjiang Scholars and Innovative Research Team in University # IRT13066. The authors would like to express their sincere gratitude to the referee for all insightful comments and valuable suggestions, based on which the paper was revised.

本校为第一且通讯机构

We are concerned with the following Schrodinger-Poisson equation with critical nonlinearity: {-epsilon(2)Delta u + V(x)u + psi u = lambda vertical bar u vertical bar(p-2)u + vertical bar u vertical bar(4)u in R-3, -epsilon(2)Delta psi = u(2) in R-3, u > 0, u is an element of H-1(R-3), where epsilon > 0 is a small positive parameter, lambda > 0, 3 < p 0. Subcritical growth Schrodinger-Poisson equation {-epsilon(2)Delta u + V(x)u + psi u = f(u) in R-3, -epsilon(2)Delta psi = u(2) in R-3, u > 0, u is an element of H-1(R-3), has been studied extensively, where the assumption for f(u) is that f(u) ...