BOUND STATE SOLUTIONS OF SCHRODINGER-POISSON SYSTEM WITH CRITICAL EXPONENT

作者：Zhang, Xu; Ma, Shiwang^*; Xie, Qilin

来源：Discrete and Continuous Dynamical Systems, 2017, 37(1): 605-625.

DOI：10.3934/dcds.2017025

• Schrodinger-Poisson system
• critical exponent
• bound state solutions

In this paper, we consider the following Schrodinger-Poisson problem @@@ [GRAPHICS] @@@ where 2* = 6 is the critical exponent in R-3, K is an element of L-1/2 (R-3) and V is an element of L-3/2 (R-3) are given nonnegative functions. When vertical bar V vertical bar(3/2) +vertical bar K vertical bar(1/2) is suitable small, we prove that problem (P) has at least one bound state solution via a linking theorem.

• 出版日期2017-1
• 单位南开大学