Results 51 to 60 of about 683 (263)

Quasilinear degenerate elliptic equation with absorption term

Nonlinear 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

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

Advanced 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, Pedro Hidalgo, David Maestre, Ruth Martínez‐Casado, Emilio Nogales, Beatriz Rodríguez, G. Cristian Vásquez, Bianchi Méndez   +7 more
wiley   +1 more source

Oblique derivative problems for generalized Rassias equations of mixed type with several characteristic boundaries

Electronic Journal of Differential Equations, 2009
This article concerns the oblique derivative problems for second-order quasilinear degenerate equations of mixed type with several characteristic boundaries, which include the Tricomi problem as a special case.
Guo Chun Wen
doaj  

Weak Solutions to Leray–Lions-Type Degenerate Quasilinear Elliptic Equations with Nonlocal Effects, Double Hardy Terms, and Variable Exponents

Mathematics
This study investigates the existence and multiplicity of weak solutions for a class of degenerate weighted quasilinear elliptic equations that incorporate nonlocal nonlinearities, a double Hardy term, and variable exponents.
Khaled Kefi, Mohammed M. Al-Shomrani
doaj   +1 more source

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

Advanced 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

Existence of solutions for some degenerate quasilinear elliptic equations

Le Matematiche, 2008
In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations 
Albo Carlos Cavalheiro
doaj  

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

Advanced 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, Daniele Zucchelli, Zeinab Hamid, Christina Kousseff, Arup Sarkar, Aristea Pavlou, Zhitian Ling, Somayeh Kashani, Iain McCulloch, Paul W. M. Blom, Fabrizio Torricelli, Paschalis Gkoupidenis   +11 more
wiley   +1 more source

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients

Electronic Journal of Differential Equations, 2005
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.
Hongjie Dong, Nicolai V. Krylov
doaj  

Sub‐Nanometer Curvature Unlocks Quantum Orbital Flexoelectricity in Graphene

Advanced Materials, EarlyView.
In self‐assembled, reproducible, large‐area, quasi‐pristine graphene nanowrinkles, extreme curvature forces out‐of‐plane π‐electrons toward hybridization, driving a transition from classical to quantum orbital flexoelectricity. As curvature approaches the fundamental physical limit set by the C─C bond length, the resulting polarization increases by ...
Sathvik Ajay Iyengar, James G. McHugh, Jonathan P. Salvage, Robert Vajtai, Venkataramana Gadhamshetty, Alan B. Dalton, Manoj Tripathi, Pulickel M. Ajayan, Vincent Meunier   +8 more
wiley   +1 more source

On degenerate elliptic equations in Morrey spaces

Le Matematiche, 2006
Regularity of generalized solutions to degenerate elliptic PDE’s has received a very strong impulse in the direction of finding the minimal assumptions under which regularity results hold true.
Francesco Borrello
doaj