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- W2900919183 abstract "ABSTRACTIn this paper, we are concerned with the existence, multiplicity and concentration of positive solutions for the semilinear Schrodinger-Poisson system where (small) and λ are real parameters, a,b and c are continuous functions, and f is a continuous superlinear and subcritical nonlinearity. First, we prove that there are two families of semiclassical positive solutions for small. Then we show that these solutions are concentrating on some sets which is generated by the minimal points of a and maximal points of b and c. In addition, we investigate the relation between the number of positive solutions and the topology of the set of the global minima(or maxima) of the potentials by minimax theorems and the Ljusternik-Schnirelmann theory. Finally, we obtain some sufficient conditions for the nonexistence of positive ground state solutions." @default.
- W2900919183 created "2018-11-29" @default.
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- W2900919183 date "2018-11-15" @default.
- W2900919183 modified "2023-10-17" @default.
- W2900919183 title "Existence of positive solutions for a Schrödinger-Poisson system with critical growth" @default.
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- W2900919183 doi "https://doi.org/10.1080/00036811.2018.1546004" @default.
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