Results 11 to 20 of about 49 (39)

On singular nonpositone semilinear elliptic problems

, 2008
We prove the existence of a large positive solution for the boundary value problems $$ \begin{alignat}{2} -\Delta u &=\lambda (-h(u)+g(x,u))&\quad& \text{in }\Omega , \\ u &=0 &\quad &\text{on }\partial \Omega , \end{alignat} $$ where $\Omega $ is a bounded domain in ${\mathbb R}^{N}$, $\lambda $ is a positive parameter, $g(x,\cdot)$ is sublinear at ...
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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  

Ecuaciones semilineales con espectro discreto [PDF]

, 2012
Este libro está diseñado como un primer curso sobre ecuaciones diferenciales semilineales para estudiantes con conocimientos básicos de álgebra lineal, análisis matemático y ecuaciones diferenciales.
Caicedo Contreras, José Francisco, Castro, Alfonso   +1 more
core  

Nonexistence of Radial Positive Solutions for A Quasilinear Elliptic Equations Nonpositone Problems in an Annulus

British Journal of Mathematics & Computer Science, 2013
In this paper, our main purpose is studying the nonexistence of radial positive solutions for the boundary-value problem: { −4p u = λf(u(x)), x ∈ Ω; u(x) = 0, x ∈ ∂Ω. where p > 1,λ > 0, Ω is an annulus in R (N > 2) i.e. Ω={x ∈ R |R < |x| < R}(0 < R < R), f is a continuous nonlinear function and satisfies f(0) < 0 (the nonpositone case), f also has more
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Nonpositone elliptic problems in ${\bf R}\sp n$ [PDF]

Proceedings of the American Mathematical Society, 1995
W. Allegretto, P. O. Odiobala
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Nonpositone discrete boundary value problems

Nonlinear Analysis: Theory, Methods & Applications, 2000
The boundary value problem \[ \Delta^2 y(i-1)+\mu f\bigl(i,y(i) \bigr)=0, \] \(i=1,2, \dots,T\), \(y(0)= y(T+1)=0\), is investigated under certain conditions, in particular \(f(i,0)\leq 0\), also for \(i=0\) and \(i=T+1\). For sufficiently small positive \(\mu\) the existence of a positive solution is proved by means of the conical shell fixed point ...
Agarwal, R.P., O'Regan, D.
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Existence and stability for nonpositone elliptic problems

Nonlinear Analysis: Theory, Methods & Applications, 1994
Existence of positive solutions for some nonpositone semilinear elliptic problems is proved in this article. The problem \(- \Delta u + b\) \(\nabla u = \lambda f(x,u)\) in \(G\), \(\partial u/ \partial n + k(x)u = 0\) on \(\partial G\), where \(G\) is a smooth bounded domain in \(\mathbb{R}^ n\) \((n \geq 3)\), \(\lambda\) is a real parameter, \(n ...
Allegretto W., Nistri P.
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Uniqueness and stability of nonnegative solutions for a class of nonpositone problems in a ball

Monatshefte für Mathematik
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hajar Chahi, Said Hakimi
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Nonexistence of radial positive solutions for a class of nonpositone problems in a ball

Monatshefte für Mathematik
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Said Hakimi, Hajar Chahi
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Nonpositone Elliptic Problems in ℝ n

Proceedings of the American Mathematical Society, 1995
W. Allegretto, P. O. Odiobala
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