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Ground state solutions for fractional Schrödinger systems without monotonicity condition. (English) Zbl 1450.35275

Summary: Neither any monotonicity condition nor any Ambrosetti-Rabinowitz growth condition is required, some novel existence results of ground state solutions for a class of nonlinear fractional Schrödinger systems have been discovered. Lack of these conditions would entail some difficulties that we would overcome.

MSC:

35R11 Fractional partial differential equations
35J47 Second-order elliptic systems
35J61 Semilinear elliptic equations
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