Results 21 to 30 of about 3,838,081 (296)

Branches of Radial Solutions for Semipositone Problems

Journal of Differential Equations, 1995
Let \(\Omega\) be the unit ball in \(\mathbb{R}^N\) \((N> 1)\) centered at the origin, \(f: \mathbb{R}\to \mathbb{R}\) a differentiable, monotone function such that \(f(0)< 0\), \(\lim_{d\to \infty} {f(x)\over d}= \infty\), \(F(d)- {N- 2\over 2N} df(d)\geq M\) for all \(d\in \mathbb{R}\), where \(M\in \mathbb{R}\), \(F(d)= \int^d_0 f(s) ds\) and ...
Castro, Alfonso, Gadam, Sudhasree, Shivaji, R.   +2 more
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Radial solutions to the wave equation [PDF]

Annali di Matematica Pura ed Applicata, 2002
The authors study the Cauchy problem \[ \begin{gathered} \frac{\partial^2u}{\partial t^2}(t,x) =\frac{\partial^2u}{\partial x^2}(t,x) +\frac{2\alpha+1}{x}\frac{\partial u}{\partial x}(t,x),\\ u(0,x)=\phi(x),\,\,\,\frac{\partial u}{\partial x}(0,x)=\psi(x), \end{gathered} \] where \(\alpha\geq -1/2\) and ...
COLZANI, LEONARDO, Cominardi, A, Stempak, K.   +2 more
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Radial solutions of a biharmonic equation with vanishing or singular radial potentials [PDF]

Nonlinear Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marino Badiale, Stefano Greco, Sergio Rolando   +2 more
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Radial solutions of the elliptic Liouville equation

Results in Physics, 2021
In this paper, we derive new closed-form radial solutions for the following elliptic Liouville equation △ϕ+φ(x)eϕ=0inΩ⊂Rn,and its generalized equation △ϕ+φ(x)eϕ=f(x)inΩ⊂Rn,where △ is the Laplace operator, φ and f are smooth positive functions.
Lazhar Bougoffa, Ammar Khanfer
doaj   +1 more source

Remarks on the uniqueness of radial solutions [PDF]

ESAIM: Mathematical Modelling and Numerical Analysis, 1989
Uniqueness of radial solutions for the problem \(\Delta u+f(u)=0\) in \(D=B_ R(0)\), with \(au-b(\partial u/\partial n)=0\) on \(\partial D\) is considered. Here a and b are constants and n denotes the outward normal unit vector. As usual, the problem is reduced to a second order ordinary differential equation for the radial solution u(r), \(r=| x|\), \
Smoller, J., Wasserman, A.
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Rapid evaluation of radial basis functions [PDF]

, 2005
Over the past decade, the radial basis function method has been shown to produce high quality solutions to the multivariate scattered data interpolation problem.
Baxter, Brad J.C., Roussos, George, Brad J.C. Baxter, George Roussos   +3 more
core   +1 more source

The Quasi-Optimal Radial Basis Function Collocation Method: A Technical Note

Journal of Mathematics, 2021
The traditional radial basis function parameter controls the flatness of these functions and influences the precision and stability of approximation solution.
Juan Zhang, Mei Sun, Enran Hou, Zhaoxing Ma   +3 more
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On radial solutions for Monge–Ampère equations

TURKISH JOURNAL OF MATHEMATICS, 2018
Summary: In this paper, we obtain some new existence, uniqueness, and multiplicity results of radial solutions of an elliptic system coupled by Monge-Ampère equations using the fixed point theorem.
Ronghua LIU, Fanglei WANG, Yukun AN
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Analysis of laminated shells by a sinusoidalshear deformation theory and Radial Basis Functions collocation, accounting for through-the-thickness deformations [PDF]

, 2011
In this paper, the static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to a sinusoidal shear deformation theory (SSDT).
Polit, O., C.M.C. Roque, O. Polit, Roque C. C., Roque, C.C., A.J.M. Ferreira, Cinefra M., C. M. C. Roque, Carrera E., M. Cinefra, Cinefra, Maria, Ferreira A. J. M., A. J. M. Ferreira, Roque C. M. C., Ferreira, A.J.M., Carrera, Erasmo, Polit O., E. Carrera   +17 more
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Boundedness of Solutions for an Attraction–Repulsion Model with Indirect Signal Production

Mathematics
In this paper, we consider the following two-dimensional chemotaxis system of attraction–repulsion with indirect signal production 𝜕tu=Δu−∇·χ1u∇v1+∇·(χ2u∇v2),x∈R2,t>0,0=Δvj−λjvj+w,x∈R2,t>0,(j=1,2),𝜕tw+δw=u,x∈R2,t>0,u(0,x)=u0(x),w(0,x)=w0(x),x∈R2, where ...
Jie Wu, Yujie Huang
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