Results 71 to 80 of about 18,366,163 (311)
Advances in Nonlinear Analysis, 2018 In this paper, we extend the result of Yan and Yang [16] on equations to an elliptic system involving critical Sobolev and Hardy–Sobolev exponents in bounded domains satisfying some geometric condition.
Benmouloud Samira +2 more
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The Sylvester equation and the elliptic Korteweg-de Vries system [PDF]
, 2017 The elliptic potential Korteweg-de Vries lattice system is a multi-component extension of the lattice potential Korteweg-de Vries equation, whose soliton solutions are associated with an elliptic Cauchy kernel (i.e., a Cauchy kernel on the torus).
Da-jun Zhang +5 more
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Advanced Functional Materials, EarlyView.Phase transitions are central for the assembly of recombinant silk proteins into fibers. Soluble protein can transition into condensed states such as condensates and gels. These states are metastable and evolve in a time‐dependent way. Metastability depends on the protein sequence, and this relationship can be used to enhance the mechanical properties ...
Fred‐Eric Sammalisto +5 more
wiley +1 more source
Analysis of an elliptic system with infinitely many solutions
Advances in Nonlinear Analysis, 2017 We consider the elliptic system Δu=upvq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δv=urvs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂u/∂η=λu${{\partial u/\partial\eta}=\lambda u}$, ∂
Cortázar Carmen +2 more
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Exceptional Electro‐Optic Coefficient Unlocked via Polarization Swaying in KNbO3 Thin Films
Advanced Functional Materials, EarlyView.We present the largest reported electro‐optic response in any material to date, guided by a new design principle that exploits ultralow coercive field polarization swaying enabled by low‐symmetry ferroelectric phases in monoclinic KNbO3 thin films for energy‐efficient classical and quantum photonic integrated circuits. ABSTRACT The electro‐optic effect
Sankalpa Hazra +11 more
wiley +1 more source
Boundary partial Holder regularity for elliptic systems with non-standard growth
Electronic Journal of Differential Equations, 2018 We investigate regular points on the boundaries of elliptic systems with non-standard growth, in particular, so-called Orlicz growth. A regular point on the boundary in this paper is a point for which a weak solution to a system is Holder continuous ...
Jihoon Ok
doaj
Explicit solutions of some equations and systems of mathematical physics
Advances in Difference Equations, 2020 This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
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Advanced Functional Materials, EarlyView.A 6‐in wafer‐scale atomic‐layer‐controlled tungsten disulfide (WS2) is achieved by combining plasma‐assisted synthesis with three‐gas reactive ion etching. Precise layer control enables tunable band‐gap evolution and pulse‐history‐dependent opto‐memristive dynamics.
Seongho Kim +17 more
wiley +1 more source
Cotton-Type and Joint Invariants for Linear Elliptic Systems
The Scientific World Journal, 2013 Cotton-type invariants for a subclass of a system of two linear elliptic equations, obtainable from a complex base linear elliptic equation, are derived both by spliting of the corresponding complex Cotton invariants of the base complex equation and from
A. Aslam, F. M. Mahomed
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A Priori Estimates or Elliptic Systems
Zeitschrift für Analysis und ihre Anwendungen, 1987 A priori estimates for the general complex Beltrami equation in connection with Riemann–Hilbert boundary conditions are developed, which can be used for existence as well as uniqueness statements for related nonlinear problems. For this reason the equation together with the boundary conditions are transformed into the canonical form and essentially a ...
Begehr, H., Hsiao, G. C.
openaire +3 more sources