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On positive radial solutions for a class of elliptic equations. [PDF]
ScientificWorldJournal, 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 ...
Wu Y, Han G.
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Nonexistence of positive radial solutions for a problem with singular potential
Advances in Nonlinear Analysis, 2014 This article completes the picture in the study of positive radial solutions in the function space đ1,2(âN)â©L2(âN,|x|-αdx)â©Lp(âN)${{\mathcal {D}^{1,2}({\mathbb {R}^N}) \cap L^2({{\mathbb {R}^N}, | x |^{-\alpha } dx})\cap L^p({\mathbb {R}^N})}}$ for the ...
Catrina Florin
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A note on the radial solutions for the supercritical HĂ©non equation
Journal of Mathematical Analysis and Applications, 2008 We prove the existence of a positive radial solution for the HĂ©non 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.
Enrico Serra +2 more
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Infinitely Many Radial and Non-Radial Solutions for a Class of Hemivariational Inequalities
Rocky Mountain Journal of Mathematics, 2005 This paper deals with the study of the following class of hemivariational inequalities: find \(u\in H^1(\mathbb R^N)\) such that \[ \int_{\mathbb R^N}(\nabla u\nabla w+uw)dx+\int_{\mathbb R^N}F^0_x(x,u(x);-w(x))dx\geq 0, \] for all \(w\in H^1(\mathbb R^N)\), where \(F^0\) stands for the generalized directional derivative in the sense of Clarke.
Alexandru Kristaly
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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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Infinitely many radial and non-radial solutions for a fractional Schrödinger equation
Computers and Mathematics With Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianhua Tang
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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 GuoâKrasnoselskii and AveryâHenderson fixed-point theorems in a Banach ...
Xiaoming Wang +3 more
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