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arxiv: 1611.04007 · v3 · pith:MITCAUSTnew · submitted 2016-11-12 · 🧮 math.AP

Ground states of nonlinear fractional Schr\"odinger equation involving critical growth

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keywords equationgroundconditioncriticalfractionalgrowthinvolvingnonlinear
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In this paper, we are concerned with the ground state solutions of nonlinear fractional Schr\"odinger equation involving critical growth. Without Ambrosetti-Rabinowitz condition and monotonicity condition on the nonlinearity, we get the existence of ground state solutions of such equation when the potential $V(x)$ is not a constant and not radial.

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