文献类型：期刊文献

英文题名：Normalized solutions for a Schrodinger equation with critical growth in RN

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

机构：[1]Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, Paraiba, Brazil;[2]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China;[3]Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

年份：2022

卷号：61

期号：1

外文期刊名：CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000729121800002)】；

基金：C.O. Alves was partially supported by CNPq/Brazil Grant 304804/2017-7. C. Ji was partially supported by National Natural Science Foundation of China (No. 12171152) and Natural Science Foundation of Shanghai (No. 20ZR1413900). O. H. Miyagaki was supported by FAPESP/Brazil Grant 2019/24901-3 and CNPq/Brazil Grant 307061/2018-3.

语种：英文

摘要：In this paper we study the existence of normalized solutions to the following nonlinear Schrodinger equation with critical growth {-Delta u = lambda u + f(u), in R-N, u > 0, integral(RN) vertical bar u vertical bar(2) dx = a(2), where a > 0, lambda is an element of R and f has an exponential critical growth when N = 2, and f (t) = mu vertical bar t vertical bar(q-2)t + vertical bar t vertical bar(2*-2)t with q is an element of(2 + 4/N, 2*), mu > 0 and 2* = 2N/N-2 when N >= 3. Our main results complement some recent results for N >= 3 and it is totally new for N = 2.