Results 31 to 40 of about 9,027,533 (299)
Upper bound for the height of S-integral points on elliptic curves [PDF]
We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea +3 more
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Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]
Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian +1 more
core +1 more source
Canonical System on Elliptic Curves [PDF]
We deduce a canonical algebraic complete integrable system using the representation of the Heisenberg group. This system is shown to have solutions equivalent to those of the rigid body motion on SO(3) (Euler Top).
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Structural and biochemical analysis of a B12 superbinder
BtuG proteins are vitamin B12 scavengers in Bacteroides thetaiotaomicron, a dominant human gut bacterium. We present crystal structures of three BtuG homologs bound to cobalamin and its precursor cobinamide, revealing picomolar binding affinities, among the highest known for any natural protein.
Jose M. Martinez Felices +3 more
wiley +1 more source
Existence and multiplicity of solutions for a class of superlinear elliptic systems
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Wu Dong-Lun
doaj +1 more source
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the confinement of bounded entire solutions to a class of semilinear elliptic systems [PDF]
Under appropriate assumptions, we show that all bounded entire solutions to a class of semilinear elliptic systems are confined in a convex domain. Moreover, we prove a Liouville type theorem in the case where the domain is strictly convex.
Sourdis, Christos, Christos Sourdis
core
Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein
Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux +7 more
wiley +1 more source
On a Class of Reversible Elliptic Systems
Abstract For a semilinear elliptic system of PDE’s which is spatially reversible, we establish the existence of solutions in C 2 (ℝ 2 × T n−2 , ℝ m ) that ...
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Oscillation criteria for elliptic systems [PDF]
Oscillation criteria are established for quasilinear elliptic partial differential systems of second order in unbounded domains of Euclidean space. The main departures from earlier investigations are: (1) systems of partial differential equations are considered; (2) the equations are nonlinear; (3) the matrices involved are not required to be positive ...
Allegretto, W., Swanson, C. A.
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