Normalized solutions for Schrödinger-Poisson equations with general nonlinearities
Journal of Mathematical Analysis and Applications(2020)
摘要
In this paper, we prove the existence of normalized solutions to the following Schrödinger-Poisson equation−Δu+(|x|−1⁎|u|2)u−f(u)=λu,x∈R3,λ∈R, where f∈C(R,R) satisfies more general conditions which cover the case f(u)∼|u|q−2u with q∈(3,103)∪(103,6). Especially, some new analytical techniques are presented to overcome the difficulties due to the presence of three terms in the corresponding energy functional which scale differently.
更多查看译文
关键词
Schrödinger-Poisson system,Normalized solution,Variational method
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络