Abstract
In this paper, we study the following fractional Choquard equation(−Δ)su+u=(Kα⁎|u|p)|u|p−2u,x∈RN. Using variational methods on Nehari manifold, we prove that there is an odd solution for this equation under an energy estimate and we also obtain a least action nodal solution for this equation. Finally, we give a nonexistence result.
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