Results 91 to 100 of about 3,501,569 (379)
Advanced Functional Materials, EarlyView.On‐cell covalent crosslinking of hydrogel matrix to the membrane of a single cell using droplet microfluidics enables mechanotransduction and influences stem cell fate. This newly established approach influences stem cell fate, independent of YAP/TAZ mechanotransduction and non‐covalent reversible binding ligands yet by various intracellular ...
Castro Johnbosco +6 more
wiley +1 more source
Oscillation for quasilinear elliptic equations with p(x)-Laplacians in general domains
Electronic Journal of Differential Equations, 2013 Oscillation of quasilinear elliptic equations with p(x)-Laplacians in general domains are derived by the variational approach as applications of Picone identity. Three examples are given, and generalizations to quasilinear elliptic equations with $p(x)
Norio Yoshida
doaj
Potentials for the singular elliptic equations and their application
Results in Applied Mathematics, 2020 Potential theory has played a paramount role in both analysis and computation for boundary value problems for elliptic equations. In the middle of the last century, a potential theory was constructed for a two-dimensional elliptic equation with one ...
T.G. Ergashev
doaj
Maximum Principles for Dynamic Equations on Time Scales and Their Applications
Journal of Applied Mathematics, 2014 We consider the second dynamic operators of elliptic type on time scales. We establish basic generalized maximum principles and apply them to obtain weak comparison principle for second dynamic elliptic operators and to obtain the uniqueness of Dirichlet
Shuqing Zhou, Hui Li
doaj +1 more source
Advanced Functional Materials, EarlyView.A reconfigurable and multidirectional interdigital transducer (M‐IDT) on a flexible printed circuit board provides a practical platform for acoustofluidic research. It simplifies and accelerates prototyping, enabling cost‐effective exploration of wave modes and fluid dynamics.
Mercedes Stringer +11 more
wiley +1 more source
Advanced Functional Materials, EarlyView.A scintillating polymeric composites loaded with hafnia nanoparticles is engineered to obtain a highly luminous material, thus achieving a 400% improvement of the scintillation yield under soft X‐rays. The nanocomposite is employed to realize a multilayer heterostructured prototype scintillator than enable for ultrafast time coincidence resolution in ...
Matteo Sala +12 more
wiley +1 more source
Degenerate Differential Operators with Parameters
Abstract and Applied Analysis, 2007 The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint.
Veli B. Shakhmurov
doaj +1 more source
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
europepmc +1 more source
_10E_9 solution to the elliptic Painlev'e equation [PDF]
arXiv, 2003 A $\tau$ function formalism for Sakai's elliptic Painlev'e equation is presented. This establishes the equivalence between the two formulations by Sakai and by Ohta-Ramani-Grammaticos. We also give a simple geometric description of the elliptic Painlev'e equation as a non-autonomous deformation of the addition formula on elliptic curves. By using these
arxiv
Recent progress in the $L_p$ theory for elliptic and parabolic equations with discontinuous coefficients [PDF]
arXiv, 2020 In this paper, we review some results over the last 10-15 years on elliptic and parabolic equations with discontinuous coefficients. We begin with an approach given by N. V. Krylov to parabolic equations in the whole space with VMO$_x$ coefficients. We then discuss some subsequent development including elliptic and parabolic equations with coefficients
arxiv