Results 81 to 90 of about 43,657 (228)
Walk on Spheres for Fractional Laplacian [PDF]
, 2016 <p>Matlab codes to solve fractional Laplacian problem with exterior data. See</p> <p>Unbiased `walk-on-spheres' Monte Carlo methods for the fractional Laplacian by Andreas E.
Shardlow, Tony +3 more
core +1 more source
Mapping Fatty Acid Composition in the Human Knee: Short‐Term Repeatability at 3T
Journal of Magnetic Resonance Imaging, EarlyView.ABSTRACT Background Alterations in periarticular lipid composition are implicated in musculoskeletal diseases, yet short‐term reliability of MRI‐based triglyceride composition mapping in the knee is not fully established. Purpose To evaluate 1‐week repeatability of proton‐density fat fraction (PDFF) and triglyceride fatty‐acid composition—saturated ...
Dimitri Martel +8 more
wiley +1 more source
Fine boundary regularity for the degenerate fractional p-Laplacian
Journal of Functional Analysis, 2020 38 pages, 3 ...
Antonio Iannizzotto +2 more
openaire +2 more sources
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
Mathematische Nachrichten, EarlyView.ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley +1 more source
Nontrivial solutions for Neumann fractional p-Laplacian problems [PDF]
Opuscula MathematicaIn this paper, we investigate some classes of Neumann fractional \(p\)-Laplacian problems. We prove the existence and multiplicity of nontrivial solutions for several different nonlinearities, by using variational methods and critical point theory based ...
Chun Li, Dimitri Mugnai, Tai-Jin Zhao
doaj +1 more source
Mathematics, 2020 We investigate the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with singular nonnegative nonlinearities and p-Laplacian operators, subject to nonlocal boundary conditions which ...
Ahmed Alsaedi, Rodica Luca, Bashir Ahmad
doaj +1 more source
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
Boundary value problem with fractional p-Laplacian operator
Advances in Nonlinear Analysis, 2016 The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
doaj +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To create a realistic in silico brain phantom for positive and negative magnetic susceptibility that incorporates susceptibility anisotropy, enabling the evaluation of how susceptibility anisotropy influences susceptibility separation algorithm performance.
Daniel Ridani +2 more
wiley +1 more source
Precision Radiation Oncology, EarlyView.A prognostic nomogram integrating radiomic features and white matter hyperintensity (WMH) grading was developed to enable individualized survival prediction in patients with brain metastases (BMs). Integration of these imaging biomarkers into the clinical model enhanced predictive performance, indicating their incremental prognostic value for BM ...
Jianan Ni +7 more
wiley +1 more source