Results 51 to 60 of about 3,081 (308)
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 ElsevierElliptic PDE systems of the second order with coefficients from L∞ or Holder-Lipschitz spaces are considered in ...
Mikhailov, SE
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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
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Higher order energy expansions for some singularly perturbed Neumann problems [PDF]
, 2003 We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Winter, M +5 more
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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
Regularity for non-unifomly elliptic systems and applications to some variational integrals
Electronic Journal of Differential Equations, 1995 minimizers of some variational integrals whose Euler equation is elliptic but not uniformly elliptic. This setting is also referred to as elliptic equations with $p,q$-growth conditions, following Marcellini.
Fracesco Leonetti, Chiara Musciano
doaj
Advanced Materials, EarlyView.Harnessing the synergistic interplay of supramolecular self‐assembly, under macromolecular crowding conditions, and enzymatic‐mediated covalent crosslinking toward a stable protein‐based G‐quadruplex‐derived supramolecular bioink. This bioinspired strategy enables the biofabrication of complex and tunable ECM‐mimetic constructs, providing a platform ...
Vera Sousa +6 more
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Electronic Journal of Differential Equations, 2005 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
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The Fundamental Solution of an Elliptic Equation with Singular Drift
, 2022 For $n\geq 3$, we study the existence and asymptotic properties of the fundamental solution for elliptic operators in nondivergence form, ${\mathcal L}(x,\partial_x)=a_{ij}(x)\partial_i\partial_j+b_k(x)\partial_k$, where the $a_{ij}$ have modulus of continuity $ω(r)$ satisfying the square-Dini condition and the $b_k$ are allowed mild singularities of ...
Maz'ya, Vladimir, McOwen, Robert
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Advanced Materials, EarlyView.ABSTRACT Microneedle arrays (MNAs) is a rapidly emerging technology with broad biomedical applications in drug delivery and biosensing. With sub‐millimeter dimensions and periodicity, MNAs possess geometries nearly ideal for biomedical devices operating within the terahertz (THz) spectral window.
Sang Hyun Lee +6 more
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LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS
, 2011 We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
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