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.. - In: JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS. - ISSN 2296-9020. - 2:1-2(2016), pp. 105-117. [10.1007/BF03377395]
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
