文献类型：期刊文献

英文题名：Normalized solutions for a Schr?dinger equation with critical growth in RN

作者：Alves, Claudianor O.[1]; Ji, Chao[2]; Miyagaki, Olimpio H.[3]

机构：[1] Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, Campina Grande, PB, CEP:58429-900, Brazil; [2] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China; [3] Departamento de Matemática, Universidade Federal de S?o Carlos, S?o Carlos, SP, CEP:13565-905, Brazil

年份：2021

外文期刊名：arXiv

收录：EI(收录号：20210059393)

语种：英文

摘要：In this paper we study the existence of normalized solutions to the following nonlinear Schr?dinger equation with critical growth Z- R ? N u |u = |2dx λu = + a f 2 (u), in RN , where a > 0, λ ∈ R and f has an exponential critical growth when N = 2, and f (t) = μ|u|q-2u + |u|2?-2u with q ∈ (2 + N4 , 2?), μ > 0 and 2? = N2N-2 when N ≥ 3. Our main results complement some recent results for N ≥ 3 and it is totally new for N = 2.MSC Codes 35A15, 35J10, 35B09, 35B33 ? 2021, CC BY.