Results 101 to 110 of about 1,524 (134)

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Fractional Perimeters from a Fractal Perspective

Advanced Nonlinear Studies, 2019
The purpose of this paper consists in a better understanding of the fractional nature of the nonlocal perimeters introduced in [L. Caffarelli, J.-M. Roquejoffre and O. Savin, Nonlocal minimal surfaces, Comm. Pure Appl. Math.
Lombardini Luca
doaj   +1 more source

Stationary dense operators in sequentially complete locally convex spaces

, 2018
The purpose of this paper is to investigate the stationary dense operators and their connection to distribution semigroups and abstract Cauchy problem in sequentially complete spaces.Comment: arXiv admin note: substantial text overlap with arXiv:1610 ...
c, Marko Kosti\', c, Stevan Pilipovi\', Velinov, Daniel   +2 more
core  

Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential

, 2016
We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-\Delta)^{s}_{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where $s \in (0,1)$,$ p \geq 2$,$ N \geq 2$, $(-\Delta)^{s ...
Ambrosio, Vincenzo
core  

On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative. [PDF]

Chaos Solitons Fractals, 2020
Abdo MS, Shah K, Wahash HA, Panchal SK.
europepmc   +1 more source

Fundamental solutions for semidiscrete evolution equations via Banach algebras. [PDF]

Adv Differ Equ, 2021
González-Camus J, Lizama C, Miana PJ.
europepmc   +1 more source

Higher-dimensional physical models with multimemory indices: analytic solution and convergence analysis. [PDF]

Adv Differ Equ, 2020
Jaradat I, Alquran M, Abdel-Muhsen R, Momani S, Baleanu D.   +4 more
europepmc   +1 more source

Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In this article, we consider the parabolic equations with nonlocal Monge-Ampère operators ∂u∂t(x,t)−Dsθu(x,t)=f(u(x,t)),(x,t)∈R+n×R.\frac{\partial u}{\partial t}\left(x,t)-{D}_{s}^{\theta }u\left(x,t)=f\left(u\left(x,t)),\hspace{1.0em}\left(x,t)\in ...
Du Guangwei, Wang Xinjing
doaj   +1 more source

Singular boundary behaviour and large solutions for fractional elliptic equations. [PDF]

J Lond Math Soc, 2023
Abatangelo N, Gómez-Castro D, Vázquez JL.   +2 more
europepmc   +1 more source

Multiple concentrating solutions for a fractional (p, q)-Choquard equation

Advanced Nonlinear Studies
We focus on the following fractional (p, q)-Choquard problem: (−Δ)psu+(−Δ)qsu+V(εx)(|u|p−2u+|u|q−2u)=1|x|μ*F(u)f(u) in RN,u∈Ws,p(RN)∩Ws,q(RN),u>0 in RN, $\begin{cases}{\left(-{\Delta}\right)}_{p}^{s}u+{\left(-{\Delta}\right)}_{q}^{s}u+V\left(\varepsilon ...
Ambrosio Vincenzo
doaj   +1 more source