文献类型：期刊文献

英文题名：CONCENTRATION PHENOMENA FOR MAGNETIC KIRCHHOFF EQUATIONS WITH CRITICAL GROWTH

作者：Ji, Chao[1];Radulescu, Vicentiu D.[2,3]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland;[3]Univ Craiova, Dept Math, Craiova 200585, Romania

年份：2021

卷号：41

期号：12

起止页码：5551

外文期刊名：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000704400800003)】；

语种：英文

外文关键词：Kirchhoff equation; magnetic field; critical growth; multiple solutions; variational methods

摘要：In this paper, we study the following nonlinear magnetic Kirchhoff equation with critical growth { - (a epsilon(2) + b epsilon[u](A/epsilon)(2))Delta(A/epsilon)u + V(x)u = f(vertical bar u vertical bar(2))u + vertical bar u vertical bar(4)u in R-3, u is an element of H-1(R-3, C), where epsilon > 0 is a parameter, a, b > 0 are constants, V : R-3 -> R and A : R-3 -> R-3 are continuous potentials, and f : R -> R is a nonlinear term with subcritical growth. Under a local assumption on the potential V, combining variational methods, penalization techniques and the Ljusternik-Schnirelmann theory, we establish multiplicity and concentration properties of solutions to the above problem for epsilon small. A feature of this paper is that the function f is assumed to be only continuous, which allows to consider larger classes of nonlinearities in the reaction.