文献类型：期刊文献

英文题名：Semiclassical states for a magnetic nonlinear Schr?dinger equation with exponential critical growth in 2

作者：D'Avenia, Pietro[1]; Ji, Chao[2]

机构：[1] Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Via Orabona 4, Bari, 70125, Italy; [2] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2021

外文期刊名：arXiv

收录：EI(收录号：20210136169)

语种：英文

外文关键词：Magnetic fields - Variational techniques

摘要：This paper is devoted to the magnetic nonlinear Schr?dinger equation (equation required) where ? > 0 is a parameter, V : 2→ and A : 2→ 2are continuous functions and f : → is a C1function having exponential critical growth. Under a global assumption on the potential V, we use variational methods and Ljusternick-Schnirelmann theory to prove existence, multiplicity, concentration, and decay of nontrivial solutions for ? > 0 small.MSC Codes 35J20, 35J60, 35B33 ? 2021, CC BY.