Abstract:We establish Ambrosetti-Prodi type results for periodic solutions of one-dimensional nonlinear problems with drift term and drift-less whose principal operator is the fractional Laplacian of order s ∈ (0, 1). We establish conditions for the existence and nonexistence of solutions. The proofs of the existence results are based on the sub-supersolution method combined with topological degree type arguments. We also establish a priori bounds in order to get multiplicity results. We also prove that the solutions a… Show more
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