Results 181 to 190 of about 416,500 (289)

What is the fractional Laplacian? A comparative review with new results [PDF]

Journal of Computational Physics, 2018
Anna Lischke, G. Pang, Mamikon A. Gulian, Fangying Song, Christian A. Glusa, Xiaoning Zheng, Zhiping Mao, W. Cai, M. Meerschaert, M. Ainsworth, G. Karniadakis   +10 more
semanticscholar   +1 more source

Solutions to the nonlinear Schrödinger systems involving the fractional Laplacian. [PDF]

J Inequal Appl, 2018
Qu M, Yang L.
europepmc   +1 more source

Estimates of potential kernel and Harnack's inequality for anisotropic fractional Laplacian

, 2005
Krzysztof Bogdan, Paweł Sztonyk
openalex   +2 more sources

Momentum transforms and Laplacians in fractional spaces [PDF]

, 2012
Gianluca Calcagni, Giuseppe Nardelli
openalex   +1 more source

Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity

Electronic Research Archive
We construct the global existence for a wave equation involving the fractional Laplacian with a logarithmic nonlinear source by using the Galerkin approximations.
Bidi Younes, Abderrahmane Beniani, Khaled Zennir, Zayd Hajjej, Hongwei Zhang   +4 more
doaj   +1 more source

Existence Results for $\aleph$-Caputo Fractional Boundary Value Problems with $p$-Laplacian Operator

Journal of New Theory
This study delves into the investigation of positive solutions for a specific class of $\aleph$-Caputo fractional boundary value problems with the inclusion of the p-Laplacian operator. In this research, we use the theory of the fixed point theory within
Özlem Batit Özen
doaj   +1 more source

Stability of nonlinear Dirichlet BVPs governed by fractional Laplacian. [PDF]

ScientificWorldJournal, 2014
Bors D.
europepmc   +1 more source

Estimates of Green Function for some perturbations of fractional Laplacian

, 2006
Tomasz Grzywny, Michał Ryznar
openalex   +2 more sources

Existence of Solutions for a Fractional Laplacian Equation with Critical Nonlinearity [PDF]

, 2013
Zifei Shen, Fashun Gao
openalex   +1 more source

Existence of solutions for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities

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
doaj