Results 41 to 50 of about 8,199,777 (182)

Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]

, 2008
We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb, Infante, G., Daniel Franco, Webb, J.R.L., Franco, D., Gennaro Infante   +5 more
core   +1 more source

Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations

Journal of Differential Equations, 1999
Three results concerning the radial symmetry and asymptotic behaviour at \(x=\infty\) of positive solutions of \[ \Delta u = \varphi(\mid x\mid)u^{\lambda}, \quad x\in \mathbb{R}^n \] and \(|x|\) large are presented. Here \(\lambda>1\) and \(\varphi(r)\) is positive and continuous for \(r\) large. There are three cases which are separately analysed: (I)
openaire   +1 more source

Existence of Positive Radial Solutions of General Quasilinear Elliptic Systems [PDF]

, 2023
Let $\Omega\subset\mathbb R^{n}\ (n\geq2)$ be either an open ball $B_R$ centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form \begin{equation*} \left\{ \begin{aligned ...
Devine, Daniel
core  

Nonexistence of radial positive solutions for a nonpositone system in an annulus

Electronic Journal of Differential Equations, 2011
In this article we study the nonexistence of radial positive solutions for a nonpositone system in an annulus by using energy analysis and comparison methods.
Said Hakimi
doaj  

Bounded and large radially symmetric solutions for some (p,q)-Laplacian stationary systems

Electronic Journal of Differential Equations, 2012
This article concerns radially symmetric positive solutions of second-order quasilinear elliptic systems. In terms of the growth of the variable potential functions, we establish conditions such that the solutions are either bounded or blow up at ...
Adel Ben Dkhil, Noureddine Zeddini
doaj  

The radial positive solutions of the Matukuma equation in higher dimensional space: Singular solution

Journal of Differential Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Biao, Zhang, Zheng-ce, Li, Yi
openaire   +2 more sources

Strongly increasing solutions of cyclic systems of second order differential equations with power-type nonlinearities [PDF]

Opuscula Mathematica, 2015
We consider \(n\)-dimensional cyclic systems of second order differential equations \[(p_i(t)|x_{i}'|^{\alpha_i -1}x_{i}')' = q_{i}(t)|x_{i+1}|^{\beta_i-1}x_{i+1},\] \[\quad i = 1,\ldots,n, \quad (x_{n+1} = x_1) \tag{\(\ast\)}\] under the assumption that
Jaroslav Jaroš, Kusano Takaŝi
doaj   +1 more source

Radial solutions and a local bifurcation result for a singular elliptic problem with Neumann condition

Electronic Journal of Qualitative Theory of Differential Equations
We study the problem $-\Delta u=\lambda u-u^{-1}$ with a Neumann boundary condition; the peculiarity being the presence of the singular term $-u^{-1}$.
Claudio Saccon
doaj   +1 more source

Radial symmetry and uniqueness for positive solutions of a Schrödinger type system

Mathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li Ma, Dezhong Chen
openaire   +3 more sources

Existence of solutions for a system of elliptic partial differential equations

Electronic Journal of Differential Equations, 2011
In this article, we establish the existence of radial solutions for a system of nonlinear elliptic partial differential equations with Dirichlet boundary conditions. Also we discuss the question of uniqueness, and illustrate our results with examples.
Robert Dalmasso
doaj