Results 121 to 130 of about 101,180 (174)

1D solitons in cubic-quintic fractional nonlinear Schrödinger model. [PDF]

open access: yesSci Rep, 2022
Stephanovich VA   +3 more
europepmc   +1 more source

Fractional Laplacian with Supercritical Killings

open access: yesCommunications in Mathematical Physics
In this paper, we study Feynman-Kac semigroups of symmetric $\alpha$-stable processes with supercritical killing potentials belonging to a large class of functions containing functions of the form $b|x|^{-\beta}$, where $b>0$ and $\beta>\alpha$. We obtain two-sided estimates on the densities $p(t, x, y)$ of these semigroups for all $t>0$, along with ...
Soobin Cho, Renming Song
openaire   +2 more sources

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

open access: yesAdvances 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

Editorial: Differential equations: Modelling and numerical methods. [PDF]

open access: yesMethodsX, 2023
Mohanty RK   +4 more
europepmc   +1 more source

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