Results 61 to 70 of about 7,152,101 (256)
Liouville type theorems for p-harmonic maps
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moon, Dong Joo +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Liouville type theorem for stationary Navier–Stokes equations [PDF]
, 2015 It is shown that any smooth solution to the stationary Navier–Stokes system in R3 with the velocity, belonging to L6 and BMO–1, must be zero.
G. Seregin
semanticscholar +1 more source
Liouville type theorem for Fractional Laplacian system
Communications on Pure and Applied Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley +1 more source
On the confinement of bounded entire solutions to a class of semilinear elliptic systems [PDF]
, 2014 Under appropriate assumptions, we show that all bounded entire solutions to a class of semilinear elliptic systems are confined in a convex domain. Moreover, we prove a Liouville type theorem in the case where the domain is strictly convex.
Sourdis, Christos, Christos Sourdis
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The first or higher order Riemann–Liouville (R‐L) type fractional derivatives are studied. The relations between the R‐L type fractional derivatives and the classical R‐L fractional derivatives are obtained and the spaces of functions on which the R‐L type fractional derivatives exist are provided.
Kunquan Lan
wiley +1 more source
Gradient estimates for a weighted nonlinear parabolic equation and applications
Open Mathematics, 2020 This paper derives elliptic gradient estimates for positive solutions to a nonlinear parabolic equation defined on a complete weighted Riemannian manifold.
Abolarinwa Abimbola +2 more
doaj +1 more source
Fractal and Fractional, 2022 First, we show the equivalence of two definitions of the left Riemann–Liouville fractional integral on time scales. Then, we establish and characterize fractional Sobolev space with the help of the notion of left Riemann–Liouville fractional derivative ...
Xing Hu, Yongkun Li
doaj +1 more source
A Liouville-type theorem and Bochner formula for harmonic maps into metric spaces [PDF]
Communications in analysis and geometry, 2018 We study analytic properties of harmonic maps from Riemannian polyhedra into CAT($\kappa$) spaces for $\kappa\in\{0,1\}$. Locally, on each top-dimensional face of the domain, this amounts to studying harmonic maps from smooth domains into CAT($\kappa ...
B. Freidin, Yingying Zhang
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