Results 231 to 240 of about 65,192 (260)

Exact solutions for radial SchrÖdinger equations

International Journal of Theoretical Physics, 1995
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Vanden Berghe, G., De Meyer, H., van Daele, M.   +2 more
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RADIAL SOLUTIONS FOR WEIGHTED SEMILINEAR EQUATIONS

Communications in Contemporary Mathematics, 2002
In this paper we prove the exact cut-off between existence and nonexistence of radial solutions in a class of problems of the Brezis–Nirenberg type. We obtain this by studying the existence/nonexistence of positive solutions in [Formula: see text] for -vtt+¼v=vp-1 +λe-ctv, for different values of the parameters c>0 and λ, for p≥2.
Catrina, Florin, Lavine, Richard
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A Minimal Solution to Radial Distortion Autocalibration

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2011
Simultaneous estimation of radial distortion, epipolar geometry, and relative camera pose can be formulated as a minimal problem and solved from a minimal number of image points. Finding the solution to this problem leads to solving a system of algebraic equations.
Zuzana Kukelova, Tomás Pajdla
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Radial and non radial solutions for Hardy–Hénon type elliptic systems

Calculus of Variations and Partial Differential Equations, 2009
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M. Calanchi, B. Ruf
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Radial solution of the Logarithmic Laplacian system

Applied Mathematics-A Journal of Chinese Universities
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Zhang, Li-hong, Wang, Guo-tao, Nie, Xiao-feng, Ahmad, Bashir   +3 more
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Radial Solutions: The ODE Method

1997
In this chapter, we consider the equation $$ - \Delta u + f(r,u)\quad {\text{in}}\;{{\mathbb{R}}^{N}}, $$ (19.1) where we denote r = |x|.
I. Kuzin, S. Pohozaev
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Radially Stable Periodic Solutions for Radially Symmetric Keplerian-Like Systems

Journal of Dynamical and Control Systems, 2016
In this paper, the author considers a planar system of Kepler type with radial symmetry and \(T\)-periodic time dependence given by \[ \ddot x+f(t,|x|)\frac{x}{|x|}=0.\tag{1} \] The typical model is \(f(t,r)=\frac{h(t)}{r^\alpha}-e(t)\) with \(\alpha>0\) and \(h(t),e(t)\) \(T\)-periodic functions.
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The index of the radial solution of some elliptic P.D.E.

Nonlinear Analysis: Theory, Methods & Applications, 1990
For \(\Omega_{\epsilon}=\{x\in {\mathbb{R}}^ N ...
Bénichou, A., Pomet, J.-B.
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Nonconvergent radial solutions of semilinear elliptic equations

Asymptotic Analysis, 2010
For many known examples of semilinear elliptic equations Δu+f(u)=0 in R N (N>1), a bounded radial solution u(r) converges to a constant as r→∞. Maier, in 1994, constructed, for N=2, an equation with a nonconvergent radial solution.
Man Kam Kwong, Solomon Wai-Him Wong
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Are solutions of almost radial nonlinear elliptic equations almost radial?

Communications in Partial Differential Equations, 1995
In this paper we study the radial properties and asymptotic behavior of solutions of the problem {Delta}u = f(x,u) lim u(x) = {infinity} {vert_bar}x{vert_bar} {yields} {infinity} where f(x,u) is continuous and positive for u > 0 and x {element_of} {Omega} = R{sup n} - {Beta}. Here {Beta} is an open ball with center at the origin and n {ge} 3.
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