Riv. Mat. Univ. Parma, Vol. 10, No. 1, 2019
Teresa Isernia^{[a]}
On a nonhomogeneous sublinearsuperlinear fractional equation in \( \mathbb{R}^{N}\)
Pages: 167186
Received: 28 April 2019
Accepted: 2 July 2019
Mathematics Subject Classification (2010): 35A15, 35J60, 35R11, 45G05.
Keywords: Fractional Laplacian, Sublinear growth, Nehari manifold, Concentrationcompactness.
Authors address:
[a]: Dip. di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche 12, 60131 Ancona, Italy
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Abstract:
The existence of a positive solution to a nonhomogeneous fractional sublinearsuperlinear problem
in the whole space is proved by combining a minimization method, Nehari manifold and the fibering map methods,
and the concentrationcompactness lemma. We also study the continuity of solutions in the perturbation parameter \(f\) at \(0\).
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