Classification of positive radial solutions to a weighted biharmonic equation
Communications on Pure and Applied Analysis, 2021 15 ...
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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. +3 more
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Structure of Positive Radial Solutions of Semilinear Elliptic Equations
Journal of Differential Equations, 1997 This article primarily concerns uniqueness and asymptotic behavior of positive radial solutions to the semilinear problems (1) \(-\Delta u=f(u)\) in \(\mathbb{R}^n\), \(u(\infty)=0\); and (2) \(-\Delta u=f(u)\) in \(B\), \(u|_{\partial B}=0\), where \(B\) denotes a ball in \(\mathbb{R}^n\) centred at the origin, and \(f(t)= \min\{t^p,t^q\}\) for ...
Erbe, Lynn, Tang, Moxun
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Three positive radial solutions for elliptic equations in a ball
Applied Mathematics Letters, 2005 The authors consider the second-order elliptic problem of the form \[ -\Delta u=\lambda\cdot k(|x|) f(u),\quad u> 0\quad\text{in }\Omega,\quad u= a\quad\text{on }\partial\Omega,\tag{1} \] where \(\Omega\) is the ball of radius \(R_0\); \(\lambda\), \(a\) are positive parameters; \(f\in C([0,+\infty), [0,+\infty))\) is a increasing function and \(k\in C(
João Marcos do Ó +2 more
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Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]
, 2012 This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L +3 more
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Existence of Positive Ground State Solutions for Choquard Systems
Advanced Nonlinear Studies, 2020 We study the existence of positive ground state solution for Choquard systems. In the autonomous case, we prove the existence of at least one positive ground state solution by the Pohozaev manifold method and symmetric-decreasing rearrangement arguments.
Deng Yinbin, Jin Qingfei, Shuai Wei
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Existence of radial solutions for a p ( x ) $p(x)$ -Laplacian Dirichlet problem
Advances in Difference Equations, 2021 In this paper, using variational methods, we prove the existence of at least one positive radial solution for the generalized p ( x ) $p(x)$ -Laplacian problem − Δ p ( x ) u + R ( x ) u p ( x ) − 2 u = a ( x ) | u | q ( x ) − 2 u − b ( x ) | u | r ( x ) −
Maria Alessandra Ragusa +2 more
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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A dynamic convergence control scheme for the solution of the radial equilibrium equation in through-flow analyses [PDF]
, 2010 One of the most frequently encountered numerical problems in scientific analyses is the solution of non-linear equations. Often the analysis of complex phenomena falls beyond the range of applicability of the numerical methods available in the public ...
Templalexis, I. +7 more
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Radial positive solutions for p-Laplacian supercritical Neumann problems
Bruno Pini Mathematical Analysis Seminar, 2017 18 pages, 7 figures, "Seminari di Analisi Matematica Bruno Pini" - Universit\`a di ...
Francesca Colasuonno, Benedetta Noris
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