Results 1 to 10 of about 8,405,278 (297)

On positive solutions for a class of nonlocal problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, we study a class of nonlocal semilinear elliptic problems with inhomogeneous strong Allee effect. By means of variational approach, we prove that the problem has at least two positive solutions for large $\lambda$ under suitable hypotheses
Guowei Dai
doaj   +1 more source

Radial positive solutions for a nonpositone problem in an annulus

open access: yesElectronic Journal of Differential Equations, 2014
The main purpose of this article is to prove the existence of radial positive solutions for a nonpositone problem in an annulus when the nonlinearity is superlinear and has more than one zero.
Said Hakimi, Abderrahim Zertiti
doaj  

Nonexistence of positive solutions for a nonpositone system in a ball

open access: yesElectronic Journal of Differential Equations, 2015
In this article, we prove the nonexistence of positive solutions for a nonpositone system in a ball when the nonlinearities may have more than one zero.
Said Hakimi
doaj  

Positive solutions for the one-dimensional Sturm-Liouville superlinear p-Laplacian problem

open access: yesElectronic Journal of Differential Equations, 2018
We prove the existence of positive classical solutions for the p-Laplacian problem $$\displaylines{ -(r(t)\phi (u'))'=f(t,u),\quad t\in (0,1), \cr au(0)-b\phi ^{-1}(r(0))u'(0)=0,\ cu(1)+d\phi ^{-1}(r(1))u'(1)=0, }$$ where $\phi (s)=|s|^{p-2}s$, $p ...
Khanh Duc Chu, Dang Dinh Hai
doaj  

Bounded positive solutions of Schrödinger equations

open access: yesApplied Mathematics Letters, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Nonexistence of radial positive solutions for a nonpositone problem

open access: yesElectronic Journal of Differential Equations, 2011
In this article we study the nonexistence of radial positive solutions for a nonpositone problem when the nonliearity is superlinear and has more than one zero.
Said Hakimi, Abderrahim Zertiti
doaj  

Positive Solutions of Superlinear Elliptic Equations

open access: yesJournal of Functional Analysis, 1999
Let \(\Omega\subset \mathbb{R}^N\) be a bounded convex domain with smooth boundary \(\Omega\) and \(f: \mathbb{R}^+\to \mathbb{R}\) be a locally Lipschitz continuous function with \(f(0)\geq 0\). The elliptic problems \[ -\Delta u= f(u),\quad u>0,\quad x\in\Omega,\quad u= 0,\quad x\in\partial\Omega;\tag{1} \] and \[ -\Delta u=\lambda f(u),\quad u>0 ...
openaire   +2 more sources

Positive Solutions of Semilinear Equations in Cones [PDF]

open access: yesTransactions of the American Mathematical Society, 1992
In this paper we consider the problem of finding a positive solution of the equation Δ u
openaire   +2 more sources

Two positive solutions for second-order functional and ordinary boundary-value problems

open access: yesElectronic Journal of Differential Equations, 2005
In this paper we use a fixed point theorem due to Avery and Henderson to prove, under appropriate conditions, the existence of at least two positive solutions for a second-order functional and ordinary boundary-value problem.
Kyriakos G. Mavridis   +1 more
doaj  

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