Results 91 to 100 of about 18,366,163 (311)
Partial continuity for a class of elliptic systems with non-standard growth
Electronic Journal of Differential Equations, 2016 We study partial Holder continuity of weak solutions to elliptic systems with variable non-standard growth, which are related to the function $\Phi(x,t):=t^{p(x)}\log(e+t)$. We prove that weak solutions are Holder continuous for any Holder exponent,
Jihoon Ok
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ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS
Проблемы анализа, 2019 We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk.
E. A. Shcherbakov, I. A. Avdeyev
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On critical semilinear elliptic systems
Advances in Differential Equations, 2001 The goal of the present paper is to study the existence of solutions of the semilinear elliptic system \[ \begin{gathered} -\Delta u+ u= |v|^{q-1} v+ g(x,v)\quad\text{in }\mathbb{R}^n,\\ -\Delta v+ v= |u|^{p-1} u+ f(x,u)\quad\text{in }\mathbb{R}^N,\\ u(x)\to 0\text{ and }v(x)\to 0\quad \text{as }|x|\to \infty,\end{gathered}\tag{1} \] where \({1\over p ...
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Bilinear recurrences and addition formulae for hyperelliptic sigma functions [PDF]
, 2005 The Somos 4 sequences are a family of sequences satisfying a fourth order bilinear recurrence relation. In recent work, one of us has proved that the general term in such sequences can be expressed in terms of the Weierstrass sigma function for an ...
Victor Z Enolskii +11 more
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Ion‐Reconfigurable “N”‐Shaped Antiambipolar Behavior in Organic Electrochemical Transistors
Advanced Materials, EarlyView.A unique N‐shaped negative differential transconductance (NDT) characteristics is demonstrated in single‐polymer organic electrochemical transistors through a sequential doping–redox–doping process driven by iodide ions. This redox‐driven mechanism enables low‐voltage, ion‐controlled reconfigurability and tunable current modulation, allowing seamless ...
Debdatta Panigrahi +11 more
wiley +1 more source
On a nonlinear elliptic system: resonance and bifurcation cases [PDF]
, 1999 summary:In this paper we consider an elliptic system at resonance and bifurcation type with zero Dirichlet condition.
Zuluaga, Mario
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What is the complexity of elliptic systems?
Journal of Approximation Theory, 1985 This paper deals with the optimal solution of the Petrovsky-elliptic system lu = f, where l is of homogeneous order t and f (x) ∈ H (Ω).Of particular interest is the strength of finite element information (FEI) of degree k, as well as the quality of the finite element method (FEM) using this information.
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Generating Unconventional Spin‐Orbit Torques With Patterned Phase Gradients in Tungsten Thin Films
Advanced Materials, EarlyView.ABSTRACT A key aim in spintronics is to achieve current‐induced magnetization switching via spin‐orbit torques without external magnetic fields. For this, the focus of recent work has been on introducing controlled lateral gradients across ferromagnet/heavy‐metal devices, giving variations in thickness, composition, or interface quality.
Lauren J. Riddiford +9 more
wiley +1 more source
Local uniqueness for singularly perturbed periodic nonlinear traction problems
Electronic Journal of Differential Equations, 2014 We present a limiting property and a local uniqueness result for converging families of solutions of a singularly perturbed nonlinear traction problem in an unbounded periodic domain with small holes.
Matteo Dalla Riva, Paolo Musolino
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K(_2) and L-series of elliptic curves over real quadratic fields [PDF]
, 1995 This thesis examines the relationship between the L-series of an elliptic curve evaluated at s = 2 and the image of the regulator map when the curve is defined over a real quadratic field with narrow class number one, thus providing numerical evidence ...
Young, Michael Alexander, Young, M.A
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