Abstract
We investigate the existence of solutions to the fractional nonlinear Schrödinger equation (−Δ)su=f(u)−μu with prescribed L2-norm ∫RN|u|2dx=m in the Sobolev space Hs(RN). Under fairly general assumptions on the nonlinearity f, we prove the existence of a ground state solution and a multiplicity result in the radially symmetric case.
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