Results 171 to 180 of about 3,501,569 (379)

Symmetry and Monotonicity of Solutions to Mixed Local and Nonlocal Weighted Elliptic Equations

Axioms
This paper focuses on the symmetry and monotonicity of non-negative solutions to a mixed local and nonlocal weighted elliptic problem. This problem generalizes the ground-state representation of elliptic equations with the Hardy potential. The novelty of
Yongzhi Daiji, Shuibo Huang, Qiaoyu Tian
doaj   +1 more source

Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition. [PDF]

J Inequal Appl, 2017
Dinlemez Kantar Ü, Özden T.
europepmc   +1 more source

On the maximum principles of second order elliptic differential equations [PDF]

, 1960
Kiyoshi Akô
openalex   +1 more source

Mimicking Symmetry‐Breaking Einstein Ring by Optical Lens

Advanced Photonics Research, EarlyView.
This article uses an optical lens to emulate the gravitational lensing effect and observe the Einstein ring (ER) patterns. The symmetry‐breaking ER, i.e., Einstein cross, is observed utilizing a rotation‐symmetry‐breaking hemi‐ellipsoid lens. Deformed Einstein cross patterns induced by noncollinearly alignment of the light source–lens–observer are ...
Jun‐Liang Duan, Wen Xiao, Minyong Guo, Tong Liu, Huanyang Chen, Jin‐Hui Chen   +5 more
wiley   +1 more source

On the ellipticity and solvability of an abstract second-order differential equation

Electronic Journal of Differential Equations, 2001
In this work we give some new results on a complete abstract second-order differential equation of elliptic type in the non-homogeneous case. Existence, uniqueness, and maximal regularity of the strict solution are proved under some natural assumptions ...
Abdelillah El Haial, Rabah Labbas
doaj  

Schauder-type estimates for fully nonlinear degenerate elliptic equations [PDF]

arXiv
In this paper, we examine regularity estimates for solutions to fully nonlinear, degenerated elliptic equations, at interior vanishing source points. At these points, we obtain Schauder-type regularity estimates, which depend on the H\"older-like source-ellipticity vanishing rate.
arxiv  

Comparison Theorems for Elliptic Equations on Unbounded Domains [PDF]

, 1967
C. A. Swanson
openalex   +1 more source

Precision Construction of Chiral Optical Fields with Nine Controllable Degrees of Freedom

Advanced Photonics Research, EarlyView.
Chiral optical fields (COFs) offer multiple controllable degrees of freedom (DOFs), enabling applications in optical tweezers, manufacturing, and encryption. However, achieving precise sidelobe control remains a challenge. This work introduces a modular multilayer annular phase plate to fine‐tune COFs by manipulating nine DOFs.
Duo Deng, Xing Liu, Zixin Xu, Zhenjun Yang, Yan Li   +4 more
wiley   +1 more source

Tissue mosaicism, FMR1 expression and intellectual functioning in males with fragile X syndrome

American Journal of Medical Genetics Part A, Volume 191, Issue 2, Page 357-369, February 2023., 2023
Abstract Fragile X syndrome (FXS) is caused by hypermethylation of the FMR1 promoter due to the full mutation expansion (full mutation [FM]: CGG ≥ 200 repeats) and silencing of FMR1. Assessment of mosaicism for active‐unmethylated alleles has prognostic utility.
Emma K. Baker, Marta Arpone, Minh Bui, Claudine M. Kraan, Ling Ling, David Francis, Mathew F. Hunter, Carolyn Rogers, Michael J. Field, Lorena Santa María, Víctor Faundes, Bianca Curotto, Paulina Morales, Cesar Trigo, Isabel Salas, Angelica M. Alliende, David J. Amor, David E. Godler   +17 more
wiley   +1 more source

On positive radial solutions for a class of elliptic equations. [PDF]

ScientificWorldJournal, 2014
Wu Y, Han G.
europepmc   +1 more source