We discuss the existence of infinitely many periodic weak solutions for a subcritical nonlinear problem involving the fractional operator (− Δ + I)s on the torus TN. By using an abstract critical point result due to Clapp [14], we prove that, in spite of the presence of a perturbation h ∈ L2(TN) which breaks the symmetry of the problem under consideration, it is possible to nd an unbounded sequence of periodic (weak) solutions.
Infinitely Many Periodic Solutions for a Fractional Problem Under Perturbation
Ambrosio V.
2016-01-01
Abstract
We discuss the existence of infinitely many periodic weak solutions for a subcritical nonlinear problem involving the fractional operator (− Δ + I)s on the torus TN. By using an abstract critical point result due to Clapp [14], we prove that, in spite of the presence of a perturbation h ∈ L2(TN) which breaks the symmetry of the problem under consideration, it is possible to nd an unbounded sequence of periodic (weak) solutions.File in questo prodotto:
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