Results 61 to 70 of about 33,455 (264)

A note on the existence and multiplicity of solutions for sublinear fractional problems

Boundary Value Problems, 2017
In this paper, we study the existence of weak solutions for fractional p-Laplacian equations with sublinear growth and oscillatory behavior as the following L K p u = λ f ( x , u ) in  Ω , u = 0 in  R N ∖ Ω , $$ \begin{aligned} &\mathcal{L}^{p}_{K}u ...
Yongqiang Fu
doaj   +1 more source

Explicit Iteration and Unique Positive Solution for a Caputo-Hadamard Fractional Turbulent Flow Model

IEEE Access, 2019
Hadamard fractional calculus theory has made many scholars enthusiastic and excited because of its special logarithmic function integral kernel. In this paper, we focus on a class of Caputo-Hadamard-type fractional turbulent flow model involving $p(t)$ -
Guotao Wang, Xueyan Ren, Lihong Zhang, Bashir Ahmad   +3 more
doaj   +1 more source

Non degeneracy of the bubble in the critical case for non local equations

, 2013
We prove the nondegeneracy of the extremals of the fractional Sobolev inequality as solutions of a critical semilinear nonlocal equation involving the fractional ...
Davila, Juan, del Pino, Manuel, Sire, Yannick   +2 more
core   +3 more sources

A Hydrodynamic Bioreactor for High‐Yield Production of Extracellular Vesicles from Stem Cell Spheroids with Defined Cargo Profiling

Advanced Science, EarlyView.
This study harnesses hydrodynamic flows to generate, confine and stimulate stem cell spheroids, enabling the large‐scale production of extracellular vesicles (EVs). This innovative method not only streamlines spheroid formation and subsequent EV release in a single, integrated process, but also ensures the generation of EVs with enhanced biological ...
Solène Lenoir, Elliot Thouvenot, Giacomo Gropplero, Léonie Dec, Damarys Loew, Clotilde Théry, Jose E Perez, Claire Wilhelm   +7 more
wiley   +1 more source

Dirichlet fractional Laplacian in multi-tubes

Journal of Spectral Theory, 2023
We describe the spectrum structure for the restricted Dirichlet fractional Laplacian in multi-tubes, i.e., domains with cylindrical outlets to infinity. Some new effects in comparison with the local case are discovered.
Fedor L. Bakharev, Alexander I. Nazarov
openaire   +3 more sources

Mathematical Prediction for Geometry‐Mediated Cell 3D In‐Growth on Bone Tissue Engineering Scaffolds

Advanced Science, EarlyView.
This study identifies a fundamental pore size dependent pattern of three dimensional bone marrow derived mesenchymal stem cell (BMSC) infiltration within porous scaffolds, where small pores promote horizontal cellular bridging and large pores facilitate vertical migration.
Xiang Gao, Zhijun Yu, Yu Yan, Jiamin Ding, Wangsiyuan Teng, Chenhe Zhou, Minjun Yao, Wenkan Zhang, Shenzhi Zhao, Fangqian Wang, Zhenxuan Shao, Jinfeng Zhou, Xiaoyong Wu, Chengcheng Yu, Liang Chen, Xiaoqiang Jin   +15 more
wiley   +1 more source

Regional fractional Laplacians: Boundary regularity

Journal of Differential Equations, 2022
Minor changes has been done. To appear in the "Journal of Differential Equations"
openaire   +2 more sources

Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator

AIMS Mathematics, 2023
In this manuscript, the main objective is to analyze the existence, uniqueness, (EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary
Kirti Kaushik, Anoop Kumar , Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source

Fractional powers and singular perturbations of quantum differential Hamiltonians

, 2018
We consider the fractional powers of singular (point-like) perturbations of the Laplacian, and the singular perturbations of fractional powers of the Laplacian, and we compare such two constructions focusing on their perturbative structure for resolvents
Michelangeli, Alessandro, Ottolini, Andrea, Scandone, Raffaele   +2 more
core   +1 more source

Spectral Decomposition of Chemical Semantics for Activity Cliffs‐Aware Molecular Property Prediction

Advanced Science, EarlyView.
PrismNet mimics chemical intuition by functioning as a computational prism, refracting molecular graphs into complementary semantic views and spectral frequencies. This dual‐decomposition strategy effectively captures both global topologies and subtle “activity cliff” perturbations.
Chaoyang Xie, Junhu Xu, Guangyi Huang, Shihang Wang, Mutian He, Xinyu Dong, Huiyang Hong, Xiaojun Yao, Qi Wang, Yuquan Li   +9 more
wiley   +1 more source