科研之友
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摘要
We consider the following Schrodinger Poisson system in R-3 @@@ (0.1) {-Delta u + u + alpha Kappa(vertical bar x vertical bar)Phi(x)u = vertical bar u vertical bar(p-2)u, x epsilon R-3, -Delta Phi = Kappa(vertical bar x vertical bar)u(2), x epsilon R-3, @@@ where 2 < p < 6, alpha can be regarded as a parameter and K(r)(r = vertical bar x vertical bar) is a positive continuous function. There are constants a epsilon R and b epsilon (0, 1/2], such that K(r) similar to r(a)e(-br), as r -> +infinity. Then, (0.1) possesses a non -radial positive solution with exactly m maximum points for suitable range of alpha.
- 出版日期2017
- 单位北京师范大学; 湖北师范大学
