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pro vyhledávání: '"Point at infinity"'
Akademický článek
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Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 60,, Pp 1-32 (2018)
We are concerned with the nonlinear critical problem $-\Delta u=K(x)u^{3}$, $u>0$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded domain of $\mathbb{R}^4$. Under the assumption that $K$ is strictly decreasing in the outward nor
Externí odkaz:
https://doaj.org/article/3c7b39a00b59438784823fa648dc2717
Autor:
Gamara Najoua, Hafassa Boutheina
Publikováno v:
Advanced Nonlinear Studies, Vol 17, Iss 1, Pp 193-213 (2017)
This work is an adaptation of one of the methods based on the variational critical points at infinity theory of Abbas Bahri [1, 3, 2, 4, 5, 6, 7, 8] to the Cauchy–Riemann settings. Following Gamara [24], we give new existence results for the Kazdan
Externí odkaz:
https://doaj.org/article/bc72f637c7f64573bc06777298bae199
Autor:
L. A. Aksent’ev, N. R. Abubakirov
Publikováno v:
Lobachevskii Journal of Mathematics. 42:776-784
In this paper, we investigate the inverse problem of a simple layer potential where, by the known values of the potential gradient given as a finite series in a neighborhood of the point at infinity, we search for a simple closed contour with gravita
Akademický článek
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Autor:
Frederico Xavier, Luis Fernando Mello
Publikováno v:
Expositiones Mathematicae. 38:365-376
In this partly expository paper we give two applications of ideas from dynamical systems to the study of the injectivity properties of a polynomial local diffeomorphism F = ( F 1 , F 2 ) : R 2 → R 2 (by the work of Pinchuk, these maps need not be g
Autor:
R. B. Salimov
Publikováno v:
Russian Mathematics. 63:56-66
We study behavior of singular integral at neighborhood of the point at infinity. Its density satisfies the Holder condition on the any finite part of the real axis, and at the infinity point it vanishes as power of logarithm with exponent lesser than
Autor:
Chaoping Xing, Liming Ma
Publikováno v:
Journal of Number Theory. 198:293-317
A function field over a finite field is called maximal if it achieves the Hasse–Weil bound. Finding possible genera that maximal function fields can achieve has both theoretical interest and practical applications to coding theory and other topics.
Autor:
Alexander Shlapunov, K. V. Sidorova
Publikováno v:
Mathematical Notes. 105:604-617
The closure of the set of smooth compactly supported functions in a weighted Holder space on ℝn, n ≥ 1, with a weight controlling the behavior at the point at infinity is described. As an application, a solvability criterion for operator equation
Autor:
Yuri B. Suris, Matteo Petrera
Publikováno v:
Journal of Computational Dynamics. 6:401-408
Kahan discretization is applicable to any quadratic vector field and produces a birational map which approximates the shift along the phase flow. For a planar quadratic Hamiltonian vector field with a linear Poisson tensor and with a quadratic Hamilt