期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 267, 期 9, 页码 5258-5289出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2019.05.031
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资金
- Ministerio de Economia y Competitividad (Spain) [MTM2014-52822-P]
- MEC (Spain) [FJCI-2014-20504]
- FONDECYTGrant [1151180]
- Millennium Nucleus Center for Analysis of PDE [NC130017]
- U. de Chile
- [MTM2016-80474-P]
In this paper we are concerned with the construction of periodic solutions of the nonlocal problem (-Delta)(s)u = f (u) in R, where (-Delta)(s) stands for the s-Laplacian, s is an element of (0, 1). We introduce a suitable framework which allows, by means of regularity, to link the searching of such solutions into the existence of the ones of a semilinear problem in a suitable Hilbert space. Then by a bifurcation theory from eigenvalues of odd multiplicity and also variational method that avoid the constant solutions we get existence theorems which are lately enlightened with the analysis of some examples. In particular, multiplicity results for generalized Benjamin-Ono equation are obtained. (C) 2019 Elsevier Inc. All rights reserved.
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