Results 11 to 20 of about 77,874 (311)
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 termfs,uneed not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point ...
Ying Wu, Guodong Han
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Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Advances in Nonlinear Analysis, 2022 In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
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A note on the radial solutions for the supercritical Hénon equation
Journal of Mathematical Analysis and Applications, 2008 We prove the existence of a positive radial solution for the Hénon equation with arbitrary growth. The solution is found by means of a shooting method and turns out to be an increasing function of the radial variable. Some numerical experiments suggest the existence of many positive oscillating solutions.
Simone Secchi +2 more
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Existence of infinitely many radial and non-radial solutions for quasilinear Schrödinger equations with general nonlinearity [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we prove the existence of many solutions for the following quasilinear Schrödinger equation \begin{equation*} -\Delta u - u\Delta(|u|^2) + V(|x|)u = f(|x|,u),\qquad x \in \mathbb{R}^N. \end{equation*} Under some generalized assumptions on $
Jianhua Chen +3 more
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Computation of radial solutions of semilinear equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2007 We express radial solutions of semilinear elliptic equations on $R^n$ as convergent power series in $r$, and then use Pade approximants to compute both ground state solutions, and solutions to Dirichlet problem.
Philip Korman
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Radial and non-radial solutions for a nonlinear Schrodinger equation with a constraint
Electronic Journal of Differential Equations, 2021 We study the classical nonlinear Schodinger equation with a radially symmetric potential and a constraint, for the mass subcritical case. We obtain conditions that assure the existence of non-radial solutions. Also we show symmetry breaking of the ground states, and the existence of multiple non-radial solutions under additional conditions. Folr ...
Jiaxuan Yang +2 more
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Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions [PDF]
Opuscula Mathematica, 2023 In this article, we prove existence of radial solutions for a nonlinear elliptic equation with nonlinear nonlocal boundary conditions. Our method is based on some fixed point theorem in a cone.
Igor Kossowski
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Radial bounded solutions for modified Schrodinger equations
Electronic Journal of Differential EquationsWe study the quasilinear elliptic equation $$ -\operatorname{div} (a(x,u,\nabla u)) +A_t(x,u,\nabla u) + |u|^{p-2}u =g(x,u) \quad \hbox{in }R^N, $$ with \(N\ge 2\) and \(p > 1\). Here, \(A : R^N \times R\times R^N \to R\) is a given \(C^1\)-Caratheodory function that grows as \(|\xi|^p\) with \(A_t(x,t,\xi) = \frac{\partial A}{\partial t}(x,t ...
Federica Mennuni, Addolorata Salvatore
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Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
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Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain
Axioms, 2023 This work explores the possibility that iterative classes of elliptic equations have both single and coupled positive radial solutions. Our approach is based on using the well-known Guo–Krasnoselskii and Avery–Henderson fixed-point theorems in a Banach ...
Xiaoming Wang +3 more
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