Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222060 | Nonlinear Analysis: Real World Applications | 2018 | 29 Pages |
Abstract
In this paper, we study the following doubly singularly perturbed fractional Schrödinger-Poissonsystem with critical Sobolev exponent ε2α(âÎ)αu+V(x)u+Ïu=|u|2αââ2u+f(u)inRN,εθ(âÎ)s2Ï=γsu2inRN,where αâ(12,1), Nâ(2α,4α), sâ(Nâ2α,N), θâ(0,s), f is a subcritical nonlinearity, ε is a small parameter, the positive potential V satisfies a local condition. By combining penalization techniques with Ljusternik-Schnirelmann theory, the number of positive solutions is estimated below by the topology of the set where the potential V attains its minimum.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Huxiao Luo, Xianhua Tang,