Results 111 to 120 of about 6,505 (230)

Existence of maximal and minimal weak solutions and finite difference approximations for elliptic systems with nonlinear boundary conditions

open access: yesElectronic Journal of Differential Equations
We establish the existence of maximal and minimal weak solutions between ordered pairs of weak sub- and super-solutions for a coupled system of elliptic equations with quasimonotone nonlinearities on the boundary.
Shalmali Bandyopadhyay   +2 more
doaj  

Discrete sub- and supersolutions method

open access: yes, 2021
This thesis develops the discrete sub- and supersolutions method and applies it to prove the convergence of the nonlinear finite element method applied to the generalized di usive logistic equation......
openaire   +2 more sources

Asymptotic behavior of positive large solutions of semilinear Dirichlet problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2013
Let $\Omega $ be a smooth bounded domain in $\mathbb{R}^{n},\ n\geq 2$. This paper deals with the existence and the asymptotic behavior of positive solutions of the following problems \begin{equation*} \Delta u=a(x)u^{\alpha },\alpha >1\text{ and }\Delta
Habib Maagli   +2 more
doaj   +1 more source

Existence, uniqueness and multiplicity of positive solutions for some nonlocal singular elliptic problems

open access: yesElectronic Journal of Differential Equations, 2017
In this article, using the sub-supersolution method and Rabinowitz-type global bifurcation theory, we prove some results on existence, uniqueness and multiplicity of positive solutions for some singular nonlocal elliptic problems.
Baoqiang Yan, Qianqian Ren
doaj  

Global Dynamics of Generalized Logistic Equations

open access: yesAdvanced Nonlinear Studies, 2018
We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population.
Daners Daniel, López-Gómez Julián
doaj   +1 more source

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