Communications on Pure and Applied Mathematics· 2015Q1
Uniqueness of Radial Solutions for the Fractional Laplacian
- 495citations
- Q1SCImago
- 2015year
Short summary
This paper proves that radial, bounded solutions vanishing at infinity for fractional Laplacian equations (−Δ) s + V (with s ∊ (0,1) and V radial/nondecreasing) are unique, implying simple radial eigenvalues. It also establishes unique and non-degenerate ground states for nonlinear versions of these equations.
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