Results 21 to 30 of about 683 (263)

An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group

Boundary Value Problems, 2021
The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H n $H^{n}$ . We first derive a critical inequality in H n $H^{n}$ . Based on it, we establish a Picone-type differential
Duan Wu, Pengcheng Niu
doaj   +1 more source

Regularity theorems for a class of degenerate elliptic equations

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper we study the regularity of a class of degenerate elliptic equations with special lower order terms. By introducing a proper distance and applying the compactness method, we establish the Hölder type estimates for the weak solutions.
Qiaozhen Song, Yan Wang
doaj   +1 more source

Comparison of critical behaviors of elliptic and hyperbolic quadratic algebraic equations with variable coefficients [PDF]

INCAS Bulletin, 2015
A comparison of the behaviours of the elliptic with those of hyperbolic quadratic algebraic equations (QAEs) with free and linear variable coefficients, in vicinity of their critical surfaces is made.
Adriana NASTASE
doaj   +1 more source

Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments

FEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
wiley   +1 more source

On Removable Sets for Degenerated Elliptic Equations

Ukrainian Mathematical Journal, 2013
Under consideration is the Dirichlet problem for an elliptic equation \[ -\sum_{i,j=1}^{n}\partial_{x_{j}} a_{ij}(x)\partial_{x_{i}} u =f, \;\;x\in G\subset {\mathbb R}^{n}. \eqno{(1)} \] The corresponding quadratic form is degenerate in the sense that there exists a positive constant \(\gamma>0\) such that \[ \gamma\sum_{i=1}|\xi_{i}|^{2}\lambda_{i}(x)
Gadjiev, T.S., Bayramova, N.Q.
openaire   +3 more sources

Comprehensive Assessment of Arterial, Tissue, and Venous Collaterals for Evaluating the Infarct Growth Rate: The Multimodal Collateral Score

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto, Umberto Pensato, Ilaria Casetta, Giorgio U. Marcello, Angelo Barra, Anna Poggesi, Edoardo Carlesi, Sara Mancini, Andrea Ginestroni, Vittorio Miele, Alessandro Padovani, Andrea Morotti, Enrico Fainardi   +12 more
wiley   +1 more source

Plasma EV Proteomics Identifies ECM Remodeling and Inflammatory Proteins LUM and C7 as Candidate Biomarkers in FSHD

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Facioscapulohumeral muscular dystrophy (FSHD) is one of the most debilitating and common muscular dystrophies. Despite its severity, no approved therapy exists for FSHD patients. However, several therapeutic candidates are currently under development, and some have recently entered clinical trials, marking the need for reliable ...
Mustafa Bilal Bayazit, Chiranth K. Nagaraj, Jackson S. Newell, Kim Truc Nguyen, Xilal Y. Rima, Jacob Doon‐Ralls, Eduardo Reátegui, Jeffrey M. Statland, Rabi Tawil, Kevin M. Flanigan, Scott Q. Harper, Nizar Y. Saad   +11 more
wiley   +1 more source

Gradient regularity for strongly singular or degenerate elliptic and parabolic equations

Bruno Pini Mathematical Analysis Seminar
We present recent advances in the regularity theory for weak solutions to some classes of elliptic and parabolic equations with strongly singular or degenerate structure.
Pasquale Ambrosio
doaj   +1 more source

A Numerical–Experimental Approach for Multi‐Matrix Fiber‐Reinforced Plastics Characterization Using Finite Element Model Updating

Advanced Engineering Materials, EarlyView.
A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora, Tales V. Lisbôa, Axel Spickenheuer, Rogério J. Marczak, Jakson M. Vassoler   +4 more
wiley   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source