Results 71 to 80 of about 1,519 (300)

UNIFORM BMO ESTIMATE OF PARABOLIC EQUATIONS AND GLOBAL WELL-POSEDNESS OF THE THERMISTOR PROBLEM

open access: yesForum of Mathematics, Sigma, 2015
We prove global well-posedness of the time-dependent degenerate thermistor problem by establishing a uniform-in-time bounded mean ocsillation (BMO) estimate of inhomogeneous parabolic equations.
BUYANG LI, CHAOXIA YANG
doaj   +1 more source

On the viscosity solutions of a stochastic differential utility problem [PDF]

open access: yes
We prove existence, uniqueness and gradient estimates of stochastic differential utility as a solution of the Cauchy problem for degenerate nonlinear partial differential equation.
Andrea Pascucci, Fabio Antonelli
core  

Natural Biomaterials for Osteochondral Repair: From Source to Strategy

open access: yesAdvanced Healthcare Materials, EarlyView.
Biological origin‐guided overview of natural biomaterials and therapeutic strategies for osteochondral tissue engineering. The circular diagram categorizes representative materials and strategies into plant/algae‐derived, microbial‐derived, animal‐derived, and human‐derived sources, centered on an osteochondral defect repair model.
Hengyu Liu   +5 more
wiley   +1 more source

Existence of solutions for a nonlinear degenerate elliptic system

open access: yesElectronic Journal of Differential Equations, 2004
In this paper, we study the existence of solutions for degenerate elliptic systems. We use the sub-super solution method, and the existence of classical and weak solutions.
Nguyen Minh, Tran Dinh Ke
doaj  

Applying the potential method to solving main boundary-value problems for a degenerate elliptic equation

open access: yes, 2020
© 2016, Pleiades Publishing, Ltd.Fundamental solutions of a degenerate elliptic equation are found. Potentials of the double-layer type and single-layer type are constructed by means of fundamental solutions. Main boundary-value problems for a degenerate
Abaydullin R., Askhatov R.
core  

Nontrivial solutions of variational inequalities. The degenerate case [PDF]

open access: yes, 2001
We consider a class of asymptotically linear variational inequalities. We show the existence of a nontrivial solution under assumptions which allow the problem to be degenerate at the ...
Lancelotti, Sergio
core  

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

open access: yesAdvanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades   +7 more
wiley   +1 more source

Quasilinear degenerate elliptic equation with absorption term

open access: yesNonlinear Analysis: Theory, Methods & Applications, 1999
The author studies the Dirichlet problem for \(p\)-harmonic operators \[ L_pu=-\text{div} (A(x)|\nabla u|^{p-2}\nabla u) \] with absorption term \[ L_pu+B(x)Q(u)= f(x)\quad \text{in } \Omega,\qquad u=0\quad \text{on } \partial\Omega. \] Here \(B(x)\) is a nonnegative function on \(\Omega\) and \(Q(t)\) is a continuous and strictly monotone increasing ...
openaire   +3 more sources

3D Anodic Alumina Nanoarchitectures: A Decade of Progress from Foundational Science to Functional Metamaterials

open access: yesAdvanced Materials, EarlyView.
Ordered three‐dimensional anodic aluminum oxide (3D‐AAO) nanoarchitectures with longitudinal and transverse pores enable architecture‐driven metamaterials. The review maps fabrication advances, including hybrid pulse anodization, and shows how 3D‐AAO templates tailor properties across magnetism, energy, catalysis, and sensing.
Marisol Martín‐González
wiley   +1 more source

Ion‐Reconfigurable “N”‐Shaped Antiambipolar Behavior in Organic Electrochemical Transistors

open access: yesAdvanced Materials, EarlyView.
A unique N‐shaped negative differential transconductance (NDT) characteristics is demonstrated in single‐polymer organic electrochemical transistors through a sequential doping–redox–doping process driven by iodide ions. This redox‐driven mechanism enables low‐voltage, ion‐controlled reconfigurability and tunable current modulation, allowing seamless ...
Debdatta Panigrahi   +11 more
wiley   +1 more source

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