首页|MULTIPLE SOLUTIONS TO CRITICAL MAGNETIC SCHRODINGER EQUATIONS
MULTIPLE SOLUTIONS TO CRITICAL MAGNETIC SCHRODINGER EQUATIONS
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
万方数据
维普
In this paper,we are concerned with the existence of multiple solutions to the critical magnetic Schrödinger equation(-i▽-A(x))2u+λV(x)u=μ|u|p-2u+(∫RN|u(y)|2*α/|x-y|αdy)|u|2*α-2u in RN,(0.1)where N ≥ 4,2 ≤ p＜2*,2*α=2N-α/N-2 with 0＜α＜4,λ＞0,μ ∈ R,A(x)=(A1(x),A2(x),…,AN(x))is areal local Hölder continuous vector function,i is the imaginary unit,and V(x)is a real valued potential function on RN.Supposing that Ω=int V-1(0)⊂RN is bounded,we show that problem(0.1)possesses at least cat Ω(Ω)nontrivial solutions ifλ is large.
critical magnetic Schrödinger equationmultiple solutionsLjusternik-Schnir-elman theory
温瑞江、杨健夫
展开 >
School of Mathematics and Statistics,Jiangxi Normal University,Nanchang 330022,China
万方数据
维普
