Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation [PDF]
, 2012 Zhen-Qing Chen, Panki Kim, Renming Song
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Asymmetric critical fractional p-Laplacian problems
Electronic Journal of Differential Equations, 2017 We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
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Optimization problems in rearrangement classes for fractional $ p $-Laplacian equations
Mathematics in EngineeringWe discuss two optimization problems related to the fractional $ p $-Laplacian. First, we prove the existence of at least one minimizer for the principal eigenvalue of the fractional $ p $-Laplacian with Dirichlet conditions, with a bounded weight ...
Antonio Iannizzotto, Giovanni Porru
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Estimates of Green Function for some perturbations of fractional Laplacian
, 2006 Tomasz Grzywny, Michał Ryznar
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Stability of nonlinear Dirichlet BVPs governed by fractional Laplacian. [PDF]
ScientificWorldJournal, 2014 Bors D.
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Intrinsic ultracontractivity for Schrodinger operators based on fractional Laplacians
, 2009 Kamil Kaleta, Tadeusz Kulczycki
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Electronic Journal of Differential Equations, 2019 In this work, we establish the existence of solutions for the nonlinear nonlocal system of equations involving the fractional Laplacian, \begin{gather*} \begin{aligned} (-\Delta)^s u & = au+bv+\frac{2p}{p+q}\int_{\Omega}\frac{|v(y)|^q}{|x-y|^\mu}dy|
Yang Yang, Qian Yu Hong, Xudong Shang
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On the Order of the Fractional Laplacian in Determining the Spatio-Temporal Evolution of a Space-Fractional Model of Cardiac Electrophysiology. [PDF]
PLoS One, 2015 Cusimano N +3 more
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Singular solutions of fractional order conformal Laplacians
, 2009 María del Mar González +2 more
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A generalization of the Littlewood-Paley inequality for the fractional Laplacian $(-Δ)^{α/2}$
, 2010 Ildoo Kim, Kyeong-Hun Kim
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