科研之友
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摘要
We are concerned with the multiplicity of semiclassical solutions of the following Schrodinger system involving critical nonlinearity and magnetic fields { -(epsilon del iA(x))(2)u V(x)u = H-u(u,v) K(x)vertical bar u vertical bar(2)*-2(u), x epsilon R-N, -(epsilon del iB(x))(2)v V(x)v = H-v(u, v) K (x)vertical bar v vertical bar(2)* (-2)v, x epsilon R-N, where 2* = 2N/(N - 2) is the Sobolev critical exponent and i is the imaginary unit. Under proper conditions, we prove the existence and multiplicity of the nontrivial solutions to the perturbed system.
- 出版日期2012-11
- 单位中国矿业大学（北京）
