Results 11 to 20 of about 508,446 (306)
An extension problem for the CR fractional Laplacian [PDF]
Advances in Mathematics, 2014 We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace. Remarkably, this extension problem is different from the one studied, among others, by Caffarelli and Silvestre.
Rupert L. Frank +3 more
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On fractional $p$-Laplacian problems with weight [PDF]
Differential and Integral Equations, 2015 10 ...
Raquel Lehrer +2 more
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Strong unique continuation for the higher order fractional Laplacian [PDF]
Mathematics in Engineering, 2019 In this article we study the strong unique continuation property for solutions of higher order (variable coefficient) fractional Schrödinger operators.
María Ángeles García-Ferrero +1 more
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The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary [PDF]
, 2013 Xavier Ros‐Oton, Joaquim Serra
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Radial symmetry for a generalized nonlinear fractional p-Laplacian problem
Nonlinear Analysis, 2021 This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou +3 more
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Fractal and Fractional, 2023 The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
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Monotonicity results for the fractional p-Laplacian in unbounded domains
Bulletin of Mathematical Sciences, 2021 In this paper, we develop a direct method of moving planes in unbounded domains for the fractional p-Laplacians, and illustrate how this new method to work for the fractional p-Laplacians.
Leyun Wu, Mei Yu, Binlin Zhang
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Fractional Laplacians on ellipsoids
Mathematics in Engineering, 2021 6 pictures, 27 ...
Abatangelo N., Jarohs S., Saldana A.
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Nonlinear Analysis, 2022 In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the relativistic Schrödinger operator (–Δ + m2)s and the tempered fractional Laplacian (Δ + λ)β/2, we consider a relativistic ...
Wenwen Hou, Lihong Zhang
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On fractional Laplacians – 3 [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2016 For s > −1 we compare two natural types of fractional Laplacians (−\mathrm{\Delta })^{s} , namely, the “Navier” and the “Dirichlet” ones.
MUSINA, Roberta, Nazarov, Alexander I.
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