Results 11 to 20 of about 70,966 (297)

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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Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations

Journal of Differential Equations, 1999
Three results concerning the radial symmetry and asymptotic behaviour at \(x=\infty\) of positive solutions of \[ \Delta u = \varphi(\mid x\mid)u^{\lambda}, \quad x\in \mathbb{R}^n \] and \(|x|\) large are presented. Here \(\lambda>1\) and \(\varphi(r)\) is positive and continuous for \(r\) large. There are three cases which are separately analysed: (I)
Taliaferro, Steven D., Steven D. Taliaferro   +1 more
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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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Monotone Positive Radial Solution of Double Index Logarithm Parabolic Equations

Fractal and Fractional
This article mainly studies the double index logarithmic nonlinear fractional g-Laplacian parabolic equations with the Marchaud fractional time derivatives ∂tα.
Mengru Liu, Lihong Zhang
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A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations

Demonstratio Mathematica, 2015
We examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric.
Kubica Adam
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Existence of positive radial solution for the elliptic system on an exterior domain

Boundary Value Problems
This article discusses the existence of positive radial solution for the elliptic system { − △ u = K ( | x | ) f ( | x | , u , v , | ∇ u | ) , x ∈ Ω , − △ v = K ( | x | ) g ( | x | , u , v , | ∇ v | ) , x ∈ Ω , α 1 u + β 1 ∂ u ∂ n | ∂ Ω = 0 , α 2 v + β 2
Dan Wang, Yongxiang Li, Shengbin Yang
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The radial positive solutions of the Matukuma equation in higher dimensional space: Singular solution

Journal of Differential Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Biao, Zhang, Zheng-ce, Li, Yi
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Multiplicity Results of Positive Radial Solutions for p-Laplacian Problems in Exterior Domains [PDF]

Boundary Value Problems, 2008
We find the second positive radial solution for the following p-Laplacian problem: div(|∇u|p−2∇u)+K(|x|)uq=0 in Ω, u|∂Ω=0, u(x)→μ>0 as |x|→∞, where Ω={x∈ℝN:|x|>r0}, r0>0, N>p>1, K∈C(Ω,(0,à ...
Inbo Sim, Yong-Hoon Lee, Chan-Gyun Kim
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Uniqueness of positive radial solutions for a class of $(p,q)$-Laplacian problems in a ball

Electronic Journal of Qualitative Theory of Differential Equations
We prove the uniqueness of positive radial solution to the $(p,q)$-Laplacian problem \begin{equation*} \left\{ \begin{aligned} -\Delta _{p}u-\Delta _{q}u={}&\lambda f(u)\quad \text{in }\Omega , \\ u={}&0\quad \text{on }\partial \Omega ,% \end{aligned}%
Dang Dinh Hai, Xiao Wang
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