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- W2624340970 abstract "The present study is concerned with the following fractional Schrodinger-Poisson system with steep potential well: $$ left{% begin{array}{ll} (-Delta)^s u+ la V(x)u+K(x)phi u= f(u), & xinR^3, (-Delta)^t phi=K(x)u^2, & xinR^3, end{array}% right. $$ where $s,tin(0,1)$ with $4s+2t>3$, and $la>0$ is a parameter. Under certain assumptions on $V(x)$, $K(x)$ and $f(u)$ behaving like $|u|^{q-2}u$ with $2<q<2_s^*=frac{6}{3-2s}$, the existence of positive ground state solutions and concentration results are obtained via some new analytical skills and Nehair-Pohožaev identity. In particular, the monotonicity assumption on the nonlinearity is not necessary." @default.
- W2624340970 created "2017-06-15" @default.
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- W2624340970 date "2017-03-22" @default.
- W2624340970 modified "2023-09-27" @default.
- W2624340970 title "The existence and concentration of positive ground state solutions for a class of fractional Schrödinger-Poisson systems with steep potential wells" @default.
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