Results 91 to 100 of about 5,262 (196)

Nonexistence results for ultra-parabolic equations and systems involving fractional Laplacian operator in Heisenberg group. [PDF]

Heliyon, 2022
Tsegaw BB.
europepmc   +1 more source

Resolvent kernel for the Kohn Laplacian on Heisenberg groups

Electronic Journal of Differential Equations, 2002
We present a formula that relates the Kohn Laplacian on Heisenberg groups and the magnetic Laplacian. Then we obtain the resolvent kernel for the Kohn Laplacian and find its spectral density.
Neur Eddine Askour, Zouhair Mouayn
doaj  

Fractional infinity Laplacian with obstacle

ESAIM: Control, Optimisation and Calculus of Variations
This paper deals with the obstacle problem for the fractional infinity Laplacian with nonhomogeneous term f ( u ), where f : ℝ + ↦ ℝ +
Samer Dweik, Ahmad Sabra
openaire   +2 more sources

A Comparative Study on Nonlocal Diffusion Operators Related to the Fractional Laplacian [PDF]

, 2019
In this paper, we study four nonlocal diffusion operators, including the fractional Laplacian, spectral fractional Laplacian, regional fractional Laplacian, and peridynamic operator.
Wang, Hong, Duo, Siwei, Zhang, Yanzhi
core   +1 more source

Hopf's lemmas for parabolic fractional Laplacians and parabolic fractional $p$-Laplacians

, 2020
In this paper, we first establish Hopf's lemmas for parabolic fractional equations and parabolic fractional $p$-equations. Then we derive an asymptotic Hopf's lemma for antisymmetric solutions to parabolic fractional equations. We believe that these Hopf's lemmas will become powerful tools in obtaining qualitative properties of solutions for nonlocal ...
Wang, Pengyan, Chen, Wenxiong
openaire   +2 more sources

Variational inequalities for the spectral fractional Laplacian [PDF]

, 2017
In this paper we study the obstacle problems for the Navier (spectral) fractional Laplacian of order s ∈ (0, 1), in a bounded ...
R. Musina, MUSINA, Roberta, Nazarov, Alexander I., A. I. Nazarov   +3 more
core   +1 more source

Fractional Brownian motion via fractional Laplacian [PDF]

A new and short proof of existence of the fractional Brownian field with exponent [alpha]/2,[alpha][set membership, variant](0,2], is given in terms of the fractional power of the Laplacian.Fractional Brownian motion Fractional ...
Bojdecki, Tomasz, Gorostiza, Luis G.
core  

The Uniqueness of Solution for a Class of Fractional Order Nonlinear Systems with p-Laplacian Operator

Abstract and Applied Analysis, 2014
We are concerned with the uniqueness of solutions for a class of p-Laplacian fractional order nonlinear systems with nonlocal boundary conditions.
Jun-qi He, Xue-li Song
doaj   +1 more source

A General Framework for the Multiplicity of Positive Solutions to Higher-Order Caputo and Hadamard Fractional Functional Differential Coupled Laplacian Systems

Fractal and Fractional
This paper applies a general framework to explore the existence of multiple positive solutions for the fractional integral boundary value problem of high-order Caputo and Hadamard fractional coupled Laplacian systems with delayed or advanced arguments ...
Kaihong Zhao, Xiaoxia Zhao, Xiaojun Lv
doaj   +1 more source

Nonexistence results of solutions for some fractional $p$-Laplacian equations in $\mathbb{R}^{N}$

Electronic Journal of Qualitative Theory of Differential Equations
In the present paper, we study the nonexistence of nontrivial weak solutions to a class of fractional $p$-Laplacian equation in two cases which are $sp > N$ and $sp < N$.
Yuxin Chen, Haidong Liu
doaj   +1 more source