Results 11 to 20 of about 8,991,569 (289)
Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2018 In this paper, we study the fundamental solution of elliptic equations with real constant coefficients where is a positive definite matrix. We obtained by searching the radial solution so that we solved the equation into ordinary differential equations.
Khoirunisa Khoirunisa, Corina Karim
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Non-existence of positive radial solution for semipositone weighted p-Laplacian problems
Electronic Journal of Differential Equations, 2015 We prove the non-existence of positive radial solution to a semipositone weighted $p$-Laplacian problem whenever the weight is sufficiently large. Our main tools are a Pohozaev type identity and a comparison principle.
Sigifredo Herron, Emer Lopera
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The (n-1)-radial symmetric positive classical solution for elliptic equations with gradient
Electronic Journal of Differential Equations, 2013 In this article, we study the existence of the $(n-1)$-radial symmetric positive classical solution for elliptic equations with gradient. By some special techniques in two variables, we show a priori estimates, and then show the existence of a ...
Yong Zhang, Qiang Xu, Peihao Zhao
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Non radial positive solutions for the Hénon equation with critical growth
Calculus of Variations and Partial Differential Equations, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serra, Enrico, Enrico Serra
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The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
, 2012 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least ...
Al-Jawary, Majeed
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On Positive Radial Solutions for a Class of Elliptic Equations [PDF]
The Scientific World Journal, 2014 A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear termfs,uneed not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point ...
Ying Wu, Guodong Han
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Adaptive meshless centres and RBF stencils for Poisson equation [PDF]
, 2011 We consider adaptive meshless discretisation of the Dirichlet problem for Poisson equation based on numerical differentiation stencils obtained with the help of radial basis functions. New meshless stencil selection and adaptive refinement algorithms are
Oanh, Dang Thi, Davydov, Oleg
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RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN [PDF]
Communications in Contemporary Mathematics, 2014 The aim of this paper is to study radial symmetry and monotonicity properties for positive solution of elliptic equations involving the fractional Laplacian. We first consider the semi-linear Dirichlet problem [Formula: see text] where (-Δ)αdenotes the fractional Laplacian, α ∈ (0, 1), and B1denotes the open unit ball centered at the origin in ℝNwith N
Felmer, Patricio, Wang, Ying
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On a radial positive solution to a nonlocal elliptic equation
Topological Methods in Nonlinear Analysis, 2003 The paper deals with Dirichlet boundary value problem for the nonlinear Poisson equation with nonlocal term \[ - \Delta u = f (u, \int_U g \circ u) \] \[ u| _{\partial U} = 0, \] where \(U\) is assumed to be an annulus or a ball. Existence of solutions is obtained via fixed point theorems for increasing compact operators.
Fijałkowski, Piotr, Przeradzki, Bogdan
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On spherical averages of radial basis functions [PDF]
, 2008 A radial basis function (RBF) has the general form $$s(x)=\sum_{k=1}^{n}a_{k}\phi(x-b_{k}),\quad x\in\mathbb{R}^{d},$$ where the coefficients a 1,…,a n are real numbers, the points, or centres, b 1,…,b n lie in ℝ d , and φ:ℝ d →ℝ is a radially symmetric
Baxter, Brad J.C.
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