Results 171 to 180 of about 280,466 (259)
Mapping Fatty Acid Composition in the Human Knee: Short‐Term Repeatability at 3T
Journal of Magnetic Resonance Imaging, Volume 64, Issue 4, Page 1066-1076, October 2026.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
On fractional p-Laplacian problems with weight
, 2015 We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator.
Raquel Lehrer +3 more
core +1 more source
The Dirichlet problem for the fractional Laplacian [PDF]
The main object under study in this thesis is the fractional Laplacian. In this work, we review the proof of existence and uniqueness of weak solutions to the Dirichlet problem for this operator. We also prove that such weak solutions are in fact smooth,
Burón i Palau, Antoni
core
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
Mathematische Nachrichten, Volume 299, Issue 10, Page 2894-2917, October 2026.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
A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity
Mathematische Nachrichten, Volume 299, Issue 10, Page 3015-3035, October 2026.ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley +1 more source
Brain tumor classification using fractional Laplacian image enhancement and vision transformer. [PDF]
Sci RepDarcus B J, Ghosh S.
europepmc +1 more source
Nonlocal heat equations with generalized fractional Laplacian
We study heat equations with generalized fractional Laplacian, which is defined by the spectral theory. Here we develop the existence theory for those equations.
Kossowski Igor, Przeradzki Bogdan
core +1 more source
Alkali Chalcogenido Dialuminates A6[Al2Q6] (A = K, Rb, Cs; Q = S, Se, Te)
Zeitschrift für anorganische und allgemeine Chemie, Volume 652, Issue 15, 1 October 2026.Seven new alkali chalcogenido aluminates A6[Al2Q6] (A = K‐Cs, Q = S‐Te) complement the family of simple metallates(III) A6[M2Q6] (M = Al‐In, FeIII) with dinuclear anions of two edge sharing [AlQ4] tetrahedra. Despite the similar anions, straightforward bonding situation and physical properties, these metallates crystallize in seven different structure ...
Michael Schwarz +2 more
wiley +1 more source
Epiperimetric inequalities in the obstacle problem for the fractional Laplacian. [PDF]
Calc Var Partial Differ EquCarducci M.
europepmc +1 more source
New Phytologist, Volume 252, Issue 1, Page 222-240, October 2026.Proposed model for auxin–DGAT2 crosstalk regulating high‐temperature‐induced hypocotyl elongation. Summary Cell elongation is a fundamental process in plant growth and development, and it is significantly affected by temperature changes. While the signaling mechanisms driving high‐temperature‐induced cell elongation have been extensively studied, the ...
Mohinur Khamzaaliyeva +3 more
wiley +1 more source