Results 71 to 80 of about 3,272 (265)
Existence of a unique solution to an elliptic partial differential equation
Electronic Journal of Differential Equations, 2019 The purpose of this article is to prove the existence of a unique classical solution to the quasilinear elliptic equation $-\nabla \cdot(a(u) \nabla u)=f$ for $\mathbf{x} \in \Omega$, which satisfies the condition that $u(\mathbf{x}_0)=u_0$ at a ...
Diane L. Denny
doaj
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 +7 more
wiley +1 more source
Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
Electronic Journal of Differential Equations, 2018 The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition.
Yunru Bai
doaj
Results in Applied MathematicsThis paper investigates a symmetric dual-wind discontinuous Galerkin (DWDG) method for solving an elliptic optimal control problem with control constraints. The governing constraint is an elliptic partial differential equation (PDE), which is discretized
Satyajith Bommana Boyana +3 more
doaj +1 more source
A posteriori verification for the sign-change structure of solutions of elliptic partial differential equations [PDF]
, 2021 Kazuaki Tanaka
openalex +1 more source
Advanced Materials, EarlyView.This paper describes room‐temperature polariton lasing with high circular polarization from deformed plasmonic Kagome lattice cavities strongly coupled to colloidal CdSe nanoplatelets. Spin‐selectivity from cavity modes resulted in control over the handedness of circular polarization as well as the direction of polariton lasing, opening prospects for ...
Zhaoyun Zheng +6 more
wiley +1 more source
Surrogate-Based Physics-Informed Neural Networks for Elliptic Partial Differential Equations
, 2023 Peng Zhi +5 more
openalex +2 more sources
Spectral Tuning of Hyperbolic Shear Polaritons in Monoclinic Gallium Oxide via Isotopic Substitution
Advanced Materials, EarlyView.Spectral tuning of highly directional hyperbolic shear polaritons is realized via isotopic substitution of 16O to 18O in monoclinic β$\beta$‐phase gallium oxide. A red‐shift of almost 40 cm−1 is experimentally demonstrated with near‐field imaging, corroborated by the permittivity change extracted from far‐field experiments and density functional theory.
Giulia Carini +28 more
wiley +1 more source
Peptide‐Induced Ferroelectricity in Charge‐Transfer Supramolecular Materials
Advanced Materials, EarlyView.Bio‐inspired supramolecular charge‐transfer amphiphiles self‐assemble into nanoribbons in water, where peptide chirality‐induced symmetry breaking generates robust ferroelectricity across multiple systems. These water‐processable organic ferroelectrics also enhance neuronal outgrowth and electrophysiological maturity, offering a versatile strategy for ...
James V. Passarelli +15 more
wiley +1 more source
Analytical and dynamical insights into the truncated M-fractional Akbota equation
Boundary Value ProblemsThis paper investigates the truncated M-fractional Akbota equation via the application of Jacobi elliptic function expansion approach. Akbota is an integrable Heisenberg ferromagnetic couple system of equations that is very useful to visualize and study ...
Muhammad Ishfaq Khan +5 more
doaj +1 more source