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
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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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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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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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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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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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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四川大学学报. 自然科学版, 2021 We consider the existence of positive radial solutions to a class of elliptic boundary value problem with gradient term. The existence of positive radial solutions is obtained by using the Leray-Schauder fixed point theorem.
TANG Ying, LI Yong-Xiang
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Positive radial solutions to a ‘semilinear’ equation involving the Pucci's operator
Journal of Differential Equations, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Felmer Aichele, Patricio +1 more
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