Results 101 to 110 of about 3,448,082 (381)

Maximum principles for viscosity solutions of weakly elliptic equations

open access: yesBruno Pini Mathematical Analysis Seminar, 2019
Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
doaj   +1 more source

Jacobian elliptic Kummer surfaces and special function identities

open access: yes, 2016
We derive formulas for the construction of all inequivalent Jacobian elliptic fibrations on the Kummer surface of two non-isogeneous elliptic curves from extremal rational elliptic surfaces by rational base transformations and quadratic twists.
Griffin, Elise, Malmendier, Andreas
core   +1 more source

2D Borophene: In‐Plane Hyperbolic Polaritons in the Visible Spectral Range

open access: yesAdvanced Functional Materials, EarlyView.
Researchers have synthesized the χ3 phase of borophene, a 2D metal, using chemical vapor deposition. Combining theory and deep‐subwavelength spectroscopy, they uncover borophene's unique anisotropic optical behavior in the visible range. This breakthrough paves the way for advanced optoelectronic devices using borophene‐based heterostructures ...
Yaser Abdi   +5 more
wiley   +1 more source

The Simplest Equation Method and Its Application for Solving the Nonlinear NLSE, KGZ, GDS, DS, and GZ Equations

open access: yesJournal of Applied Mathematics, 2013
A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
doaj   +1 more source

Thermoplastic Elastomeric Bottlebrush Copolymer Glue Electrolyte Featuring Dual‐Ion Transport Channels and Strong Segregation: Experimental and Simulation Insights

open access: yesAdvanced Functional Materials, EarlyView.
A thermoplastic elastomeric glue electrolyte featuring a strongly segregated PVA‐g‐PTFP bottlebrush copolymer exhibits a nanoscale domain architecture, dual‐ion transport pathways, and universal strong interfacial adhesion. The system delivers high ionic conductivity, wide electrochemical stability, and mechanical robustness, offering a versatile ...
Hyuk Jin Roh   +4 more
wiley   +1 more source

Inducing Chirality and Chiral Instabilities in Ferrogels with Homogenous Magnetic Fields

open access: yesAdvanced Functional Materials, EarlyView.
By pre‐aligning magnetic particles into chains, significant chiral deformations are induced by fixing the base of a cylindrical actuator and applying a homogeneous magnetic field. Subsequent base rotation can drive the system into metastable states. Further rotation or reduction of field strength triggers a chiral instability, characterized by a switch
Francisco J. Vazquez‐Perez   +4 more
wiley   +1 more source

Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains

open access: yesBoundary Value Problems, 2007
We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Safonov Mikhail, Cho Sungwon
doaj  

Bernstein Theorems for Elliptic Equations

open access: yesJournal of Approximation Theory, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas Bagby, Norman Levenberg
openaire   +3 more sources

Optimal Control of Semilinear Elliptic Equations in Measure Spaces

open access: yesSIAM Journal of Control and Optimization, 2014
Optimal control problems in measure spaces governed by semilinear elliptic equations are considered. First order optimality conditions are derived and structural properties of their solutions, in particular sparsity, are discussed.
E. Casas, K. Kunisch
semanticscholar   +1 more source

A Comparative Analysis of Plasmonic and Dielectric Metasurface Sensing Platforms Powered by Bound States in the Continuum

open access: yesAdvanced Functional Materials, EarlyView.
This work reveals a fundamental trade‐off between plasmonic and dielectric metasurfaces for molecular sensing. A clear performance crossover is identified: dielectric metasurfaces excel in air, while plasmonic metasurfaces dominate in lossy solvents. These results establish design rules for infrared metasurface sensors and enable optimized performance ...
Tao Jiang   +8 more
wiley   +1 more source

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