Existence of solutions for periodic elliptic system with general superlinear nonlinearity. (English) Zbl 1323.35030
The authors establish the existence of a nontrivial solution for a coupled semilinear elliptic system, with superlinear nonlinearity, on the entire Euclidean space through a variational approach based on a generalized linking theorem.
Reviewer: Dumitru Motreanu (Perpignan)
MSC:
| 35J50 | Variational methods for elliptic systems |
| 35J47 | Second-order elliptic systems |
| 35J61 | Semilinear elliptic equations |
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