Results 81 to 90 of about 683 (263)

Existence of multiple weak solutions to a weighted quasilinear elliptic equation

Results in Applied Mathematics
In this study, we explore the existence of solutions to certain quasilinear degenerate elliptic equations that involve Hardy singular coefficients. Using variational techniques and critical point theorems, we establish new criteria for the existence of ...
Khaled Kefi
doaj   +1 more source

In Situ Change in Contact Angle of a Sessile Droplet on a Magnetoactive Elastomer

Advanced Materials Interfaces, EarlyView.
Contact angles of persistent μL$\mu{\rm L}$‐sized water droplets on a mechanically soft MAE surface under time varying magnetic fields differ from those of newly deposited droplets. The ability to quickly alter the material properties allows one to observe intriguing droplet‐material interactions.
Raphael Kriegl, Alexander Kovalev, Stanislav Gorb, Mikhail Shamonin   +3 more
wiley   +1 more source

Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev exponents on singular manifolds

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the
Haining Fan, Xiaochun Liu
doaj  

Benchmarking Coaxial and Angular Optical Emission Spectroscopy With Recommendations for Reliable Compositional In Situ Monitoring During Laser Powder Bed Fusion

Advanced Materials Technologies, EarlyView.
ABSTRACT Real‐time insight into local chemistry is critical for reliable part quality in additive manufacturing, especially laser powder bed fusion (PBF‑LB/M), where rapid thermal cycles and localized evaporation can undermine part performance. Optical emission spectroscopy (OES) offers non‑intrusive, in situ plume monitoring, but detection geometry ...
Philipp Gabriel, Bastian Jülich, Anna Rosa Ziefuss, Florian Eibl, Stephan Barcikowski   +4 more
wiley   +1 more source

Next‐Generation Water Treatment With Molybdenum Disulfide: Dual‐Functionality in Pollutant Adsorption and Photocatalysis

Advanced Materials Technologies, EarlyView.
ABSTRACT Molybdenum disulfide (MoS2) has attracted attention as a promising material due to the growing demand for environmentally friendly, cost‐effective, and efficient water treatment techniques. With its physicochemical characteristics, this stratified bidimensional material allows it to be highly effective in adsorption and catalytic performance ...
Pariksha Bishnoi, Gunjan Chauhan, Phil Hart, Samarjeet Singh Siwal, Vijay Kumar Thakur   +4 more
wiley   +1 more source

In Situ Two‐Dimensional Residual Stress Characterization of Thin Films

Advanced Materials Technologies, EarlyView.
An integrated in situ curvature metrology platform combining speckle‐based curvature optical metrology (SCOM) with multi‐beam optical sensors (MOS) enables spatially resolved two‐dimensional curvature mapping of thick sputtered coatings. The SCOM technique provides excellent agreement with MOS while providing an extended measurable curvature range ...
Wai Jue Tan, Wadwan Singhapong, Arindam Majhi, Chris Bowen, Alexander J.G. Lunt, Hongchang Wang, Kawal Sawhney   +6 more
wiley   +1 more source

Regularity of a Class of Quasilinear Degenerate Elliptic Equations

Advances in Mathematics, 1997
The author studies the \(C^\infty\) regularity for some nonlinear degenerate equations of type \[ \sum^N_{i,j=1} \partial_j(a_{ij} (x,u) \partial_iu) =f. \]
openaire   +1 more source

Full‐Stokes Polarimetry Metasurface‐Enabled Single‐Shot Measurement of the Spin Hall Effect of Light

Advanced Optical Materials, EarlyView.
This study presents a metasurface‐enabled approach to measure the spin Hall effect of light in a single‐shot. The metasurface splits a reflected light into six polarization‐dependent focal spots, allowing all Stokes parameters to be obtained from single image.
Jeonghoon Choi, Jaekyung Kim, Sujeong Park, Doyoon Lee, Juhoon Baek, Junsuk Rho, Minkyung Kim   +6 more
wiley   +1 more source

Omnidirectional Ultra‐Broadband Cu/TiO2 Metasurface Absorbers for High‐Efficiency Solar Thermal Conversion and Photothermal Plasmon‐Driven Catalysis

Advanced Optical Materials, EarlyView.
Metasurface shows selective solar–thermal energy conversion with high‐activity solar/laser‐driven chemistry. The breakthrough is co‐designing broadband FP‐cavity + plasmonic LSPR/SLR resonances in an ultra‐thin metamaterial so that it not only harvests the most efficient proportion of solar radiation but also suppresses mid and IR emissivity. Moreover,
Samira Mehrabi, HaoYu Zhang, Narendra Chaulagain, Edgar Acosta, Nazir P. Kherani   +4 more
wiley   +1 more source

Stable Solutions of a Class of Degenerate Elliptic Equations

Axioms
This paper deals with the second-order semi-linear degenerate elliptic equation yuyy+buy+Δxu+|u|α−1u=0,(x,y)∈Rn×(0,∞), where n≥1,α>1. We establish a Liouville theorem of stable solution of the degenerate equation mentioned above by using the energy method.
Yin Lang, Hairong Liu
openaire   +2 more sources