Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems
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| 024 | 7 | 0 | |a 10.1007/s10231-013-0363-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0363-5 | ||
| 245 | 0 | 0 | |a Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems |h [Elektronische Daten] |c [Huayang Chen, Shibo Liu] |
| 520 | 3 | |a 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. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 | ||
| 690 | 7 | |a Schrödinger-Poisson systems |2 nationallicence | |
| 690 | 7 | |a 4-superlinear |2 nationallicence | |
| 690 | 7 | |a $$(C)^*$$ ( C ) ∗ condition |2 nationallicence | |
| 690 | 7 | |a Local linking |2 nationallicence | |
| 700 | 1 | |a Chen |D Huayang |u Department of Mathematics, Shantou University, 515063, Shantou, People's Republic of China |4 aut | |
| 700 | 1 | |a Liu |D Shibo |u School of Mathematical Sciences, Xiamen University, 361005, Xiamen, People's Republic of China |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/1(2015-02-01), 43-53 |x 0373-3114 |q 194:1<43 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0363-5 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-013-0363-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chen |D Huayang |u Department of Mathematics, Shantou University, 515063, Shantou, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Liu |D Shibo |u School of Mathematical Sciences, Xiamen University, 361005, Xiamen, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/1(2015-02-01), 43-53 |x 0373-3114 |q 194:1<43 |1 2015 |2 194 |o 10231 | ||