Results 71 to 80 of about 3,308,385 (352)
A comprehensive review on the existence of normalized solutions for four classes of nonlinear elliptic equations [PDF]
Opuscula MathematicaThis paper provides a comprehensive review of recent results concerning the existence of normalized solutions for four classes of nonlinear elliptic equations: Schrödinger equations, Schrödinger-Poisson equations, Kirchhoff equations, and Choquard ...
Sitong Chen, Xianhua Tang
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Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term [PDF]
, 2020 Alexander Quaas +2 more
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Elliptic Yang–Mills equation [PDF]
Proceedings of the National Academy of Sciences, 2002 We discuss some recent progress on the regularity theory of the elliptic Yang–Mills equation. We start with some basic properties of the elliptic Yang–Mills equation, such as Coulomb gauges, monotonicity, and curvature estimates. Next we discuss singularity of stationary Yang–Mills connections and compactness theorems on Yang–Mills ...
openaire +2 more sources
Advanced 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
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
europepmc +1 more source
Optimal Control of Semilinear Elliptic Equations in Measure Spaces
SIAM 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
Magnetic Unclonable Functions Leveraging Remanence and Anhysteretic States
Advanced Functional Materials, EarlyView.A micrometric array of magnetic pillars provides a stable and unclonable hardware for generating cryptographic keys. From a single device, the ability is demonstrated to produce a 470‐bit key while also offering a reconfigurable mode of operation.
Alessandro Magni +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
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
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Singular boundary behaviour and large solutions for fractional elliptic equations. [PDF]
J Lond Math Soc, 2023 Abatangelo N +2 more
europepmc +1 more source