Uniqueness of Radial Solutions for the Fractional Laplacian
نویسندگان
چکیده
منابع مشابه
Uniqueness of Radial Solutions for the Fractional Laplacian
We prove general uniqueness results for radial solutions of linear and nonlinear equations involving the fractional Laplacian (−∆) with s ∈ (0, 1) for any space dimensions N > 1. By extending a monotonicity formula found by Cabré and Sire [9], we show that the linear equation (−∆)u+ V u = 0 in R has at most one radial and bounded solution vanishing at infinity, provided that the potential V is ...
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*Correspondence: [email protected] Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, P.R. China Abstract In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem involving the p-Laplacian operator. Our analysis relies on some properties of the Green function and the Guo-Krasnoselskii fixed point theorem and the Ban...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2015
ISSN: 0010-3640
DOI: 10.1002/cpa.21591