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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 term fs,u need not to be separated.
Ying Wu, Guodong Han
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Radial Positive Solutions for p-Laplacian Supercritical Neumann Problems
Bruno Pini Mathematical Analysis Seminar, 2017 This paper deals with existence and multiplicity of positive solutions for a quasilinear problem with Neumann boundary conditions. The problem is set in a ball and admits at least one constant non-zero solution; moreover, it involves a nonlinearity that ...
Francesca Colasuonno, Benedetta Noris
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Existence of positive global radial solutions to nonlinear elliptic systems
Electronic Journal of Differential Equations, 2023 In this article we obtain global positive and radially symmetric solutions to the system of nonlinear elliptic equations $$ \operatorname{div}\big(\phi_j(|\nabla u|) \nabla u\big) +a_j(x)\phi_j(|\nabla u|) |\nabla u| =p_j(x)f_j(u_1(x),\dots,u_k(x))\,, $$
Seshadev Padhi, Julio G. Dix
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Nonlinear Analysis, 2021 In this paper, we study the solvability and asymptotic properties of a recently derived gyre model of nonlinear elliptic Schrödinger equation arising from the geophysical fluid flows.
Xinguang Zhang +4 more
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New Results on the Radial Solutions to a Class of Nonlinear k-Hessian System
Journal of Mathematics, 2022 This paper investigates the positive radial solutions of a nonlinear k-Hessian system. ΛSk1/kλD2z1Sk1/kλD2z1=bxφz1,z2, x∈ℝNΛSk1/kλD2z2Sk1/kλD2z2=hxψz1,z2, x∈ℝN, where Λ is a nonlinear operator and b, h, φ, ψ are continuous functions.
Guotao Wang, Zhuobin Zhang
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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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Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth
Electronic Journal of Differential Equations, 2020 We study the asymptotic behavior of radially symmetric solutions to the subcritical semilinear elliptic problem $$\displaylines{ -\Delta u = u^{\frac{N+2}{N-2}}/[\log(e+u)]^{\alpha}\quad \text{in } \Omega=B_R(0)\subset\mathbb{R}^N,\cr u>0,\quad ...
Rosa Pardo, Arturo Sanjuan
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Infinitely many radial positive solutions for nonlocal problems with lack of compactness
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We are concerned with the qualitative and asymptotic analysis of solutions to the nonlocal equation $$ (-\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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Study on a class of Schrödinger elliptic system involving a nonlinear operator
Nonlinear Analysis, 2020 This paper considers a class of Schrödinger elliptic system involving a nonlinear operator. Firstly, under the simple condition on and ', we prove the existence of the entire positive bounded radial solutions.
Guotao Wang +3 more
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