Results 161 to 170 of about 473,820 (257)

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  

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

ScientificWorldJournal, 2014
Bors D.
europepmc   +1 more source

Large Solutions for Fractional Laplacian Operators

, 2015
PhD Thesis, vi+135 ...
openaire   +2 more sources

The properties of a new fractional g-Laplacian Monge-Ampère operator and its applications

Advances in Nonlinear Analysis
In this article, we first introduce a new fractional gg-Laplacian Monge-Ampère operator: Fgsv(x)≔infP.V.∫Rngv(z)−v(x)∣C−1(z−x)∣sdz∣C−1(z−x)∣n+s∣C∈C,{F}_{g}^{s}v\left(x):= \inf \left\{\hspace{0.1em}\text{P.V.}\hspace{0.1em}\mathop{\int }\limits_{{{\mathbb{
Wang Guotao, Yang Rui, Zhang Lihong
doaj   +1 more source

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, Bueno-Orovio A, Turner I, Burrage K.   +3 more
europepmc   +1 more source

Epiperimetric inequalities in the obstacle problem for the fractional Laplacian. [PDF]

Calc Var Partial Differ Equ
Carducci M.
europepmc   +1 more source

Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving scheme. [PDF]

Sci Rep
Yousuf M, Alshakhoury N.
europepmc   +1 more source

Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Zimmermann P.
europepmc   +1 more source

Second-order asymptotics of fractional Gagliardo seminorms as s → 1 - and convergence of the associated gradient flows. [PDF]

Fract Calc Appl Anal
Kubin A, Pagliari V, Tribuzio A.
europepmc   +1 more source

Nyquist-Hilbert-nonlinear Schrödinger solitons: A continuous family of fractional nonlinear waves. [PDF]

Sci Adv
Hoang VT, Qiang Y, Alexander TJ, Runge AFJ, de Sterke CM.   +4 more
europepmc   +1 more source