Results 91 to 100 of about 22,885,588 (357)
Conductance‐Dependent Photoresponse in a Dynamic SrTiO3 Memristor for Biorealistic Computing
Advanced Functional Materials, EarlyView.A nanoscale SrTiO3 memristor is shown to exhibit dynamic synaptic behavior through the interaction of local electrical and global optical signals. Its photoresponse depends quantitatively on the conductance state, which evolves and decays over tunable timescales, enabling ultralow‐power, biorealistic learning mechanisms for advanced in‐memory and ...
Christoph Weilenmann +8 more
wiley +1 more source
Solutions to elliptic systems of Hamiltonian type in R^N
Electronic Journal of Differential Equations, 1999 The paper proves existence of a solution for elliptic systems of Hamiltonian type on ${mathbb R}^N$ by a variational method. We use the Benci-Rabinowitz technique, which cannot be applied here directly for lack of compactness.
K. Tintarev
doaj
Positive solutions for semilinear elliptic systems with sign-changing potentials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we study the existence of positive solutions of the Dirichlet problem -Δu = λ p(x)f(u; v) ; -Δv = λ q(x)g(u; v); in D, and u = v = 0 on ∂∞D, where D ⊂ Rn (n ≥ 3) is an C1,1-domain with compact boundary and λ > 0. The potential functions p;
Zeddini Noureddine, Ben Dkhil Adel
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Advanced Functional Materials, EarlyView.This study shows that lizard osteoderm capping tissue is a hyper‐mineralized hydroxyapatite layer consistently covering the superficial osteoderm surface in those species studied here, yet it varies greatly in morphology, nanostructure, and mechanical performance across species.
Adrian Rodriguez‐Palomo +10 more
wiley +1 more source
Elliptic systems at resonance for jumping non-linearities
Electronic Journal of Differential Equations, 2016 In this article, we study the existence of nontrivial solutions for the problem $$\displaylines{ -\Delta u=\alpha _1u^{+}-\beta _1u^{-}+f(x,u,v)+h_1( x) \quad \text{in }\Omega, \cr -\Delta v=\alpha _2v^{+}-\beta _2v^{-}+g(x,u,v)+h_2( x) \quad \text ...
Hakim Lakhal, Brahim Khodja
doaj
Advanced Functional Materials, EarlyView.Ultrathin AlOxHy interlayers between aluminum films and polymer substrates significantly improve electro‐mechanical properties of flexible thin film systems. By precisely controlling interlayer thickness using atomic layer deposition, this study identifies an optimal interlayer thickness of 5–10 nm that enhances ductility and delays cracking.
Johanna Byloff +9 more
wiley +1 more source
Critical Neumann problem for nonlinear elliptic systems in exterior domains
Electronic Journal of Differential Equations, 2008 In this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient $Q(x)$ is a positive smooth function and $lambda$, $mugeq0$ are parameters, we examine the common effect of the mean ...
Jianfu Yang, Shengbing Deng
doaj
A note on the variational structure of an elliptic system involving critical Sobolev exponent
Journal of Applied Mathematics, 2003 We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al.
Mario Zuluaga
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Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system [PDF]
, 2023 V. Prokofev, A. Zabrodin
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Superlinear Elliptic Equations and Systems [PDF]
, 2008 In this article we survey some recent results on superlinear elliptic equations and systems. A particular focus will be the borderline situations of so-called critical growth. In the existence theorems, we will use mostly variational methods, that is we look for critical points of functionals associated to the equations and systems.
openaire +2 more sources