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Nontrivial solutions of semilinear elliptic systems in \(\mathbb R^n\). (English) Zbl 1099.35514

Summary: We establish an existence result for strongly indefinite semilinear elliptic system in \(\mathbb R^n\).

MSC:

35J60 Nonlinear elliptic equations
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
35J50 Variational methods for elliptic systems