A priori bounds for positive radial solutions of quasilinear equations of Lane–Emden type [PDF]
, 2023 summary:We consider the quasilinear equation $\Delta _p u +K(|x|)u^q=0$, and present the proof of the local existence of positive radial solutions near $0$ under suitable conditions on $K$.
Bae, Soohyun
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Existence of entire explosive positive radial solutions of quasilinear elliptic systems [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We show the existence of entire explosive positive radial solutions for quasilinear elliptic systems div(|∇u|m−2∇u)=p(|x|)g(v), div(|∇v|n−2∇v)=q(|x|)f(u) on RN, where f and g are positive and non-decreasing functions on (0,∞) satisfying the Keller ...
Yang Zuodong
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Positive radial solutions for a class of quasilinear Schrödinger equations in $\mathbb{R}^3$
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is concerned with the following quasilinear Schrödinger equations of the form: \begin{equation*} -\Delta u-u\Delta (u^2)+u=|u|^{p-2}u, \qquad x\in \mathbb{R}^3, \end{equation*} where $p\in\left(2,12\right)$.
Zhongxiang Wang, Gao Jia, Weifeng Hu
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Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space [PDF]
, 2012 The first author is partially supported by a GENIL grant YTR-2011-7 (Spain) and by the grant PN-II-RU-TE-2011-3-0157 (Romania). The second author is partially supported by the grant PN-II-RU-TE-2011-3-0157 (Romania).
Bereanu, C. +2 more
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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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Infinitely many radial positive solutions for nonlocal problems with lack of compactness
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We are concerned with the qualitative and asymptotic analysis of solutions to the nonlocal equation $$ (-\Delta)^su+V(|z|)u=Q(|z|)u^p\quad \text{in} \ \mathbb{R}^{N},$$ where $N\geq 3 ...
Fen Zhou +2 more
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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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Classification of positive radial solutions to a weighted biharmonic equation
Communications on Pure and Applied Analysis, 2021 15 ...
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Separation structure of positive radial solutions of a semilinear elliptic equation in Rn [PDF]
, 2003 This paper deals with the following inter-connected subjects: (i) Separation of positive radial solutions is studied for the elliptic equation Δu+K(|x|)up=0 in Rn. In case r−ℓK(r) is decreasing, with suitable decay rate, to a positive constant as r→∞ for
Bae, Soohyun, Soohyun Bae
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Positive radial solutions and non-radial bifurcation for semilinear elliptic equations in annular domains [PDF]
, 1990 We discuss the existence and multiplicity of positive radial solutions and the non-radial bifurcation of Δu + λf(u) = 0 in Ω and u = 0 on ∂Ω, where Ω is an annular domain of Rn, n ⩾ 2. We prove that if f(u) > 0 for u ⩾ 0 and limu → ∞f(u)u = ∞, then there
Lin, Song-Sun
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