caa a22 4500 605496013 CHVBK 20210128100534.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10231-013-0363-5 doi (NATIONALLICENCE)springer-10.1007/s10231-013-0363-5 Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems [Elektronische Daten] [Huayang Chen, Shibo Liu] We consider standing waves with frequency $$\omega $$ ω for 4-superlinear Schrödinger-Poisson system. For large $$\omega $$ ω , the problem reduces to a system of elliptic equations in $$\mathbb R ^3$$ R 3 with potential indefinite in sign. The variational functional does not satisfy the mountain pass geometry. The nonlinearity considered here satisfies a condition which is much weaker than the classical (AR) condition and the condition (Je) of Jeanjean. We obtain nontrivial solution and, in case of odd nonlinearity, an unbounded sequence of solutions via the local linking theorem and the fountain theorem, respectively. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 Schrödinger-Poisson systems nationallicence 4-superlinear nationallicence $$(C)^*$$ ( C ) ∗ condition nationallicence Local linking nationallicence Chen Huayang Department of Mathematics, Shantou University, 515063, Shantou, People's Republic of China aut Liu Shibo School of Mathematical Sciences, Xiamen University, 361005, Xiamen, People's Republic of China aut Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/1(2015-02-01), 43-53 0373-3114 194:1<43 2015 194 10231 https://doi.org/10.1007/s10231-013-0363-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-013-0363-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chen Huayang Department of Mathematics, Shantou University, 515063, Shantou, People's Republic of China aut NATIONALLICENCE 700 1- Liu Shibo School of Mathematical Sciences, Xiamen University, 361005, Xiamen, People's Republic of China aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/1(2015-02-01), 43-53 0373-3114 194:1<43 2015 194 10231