Results 81 to 90 of about 238 (179)

Stability and Markov property of forward backward minimal supersolutions

open access: yesElectronic Journal of Probability, 2016
We show stability and locality of the minimal supersolution of a forward backward stochastic differential equation with respect to the underlying forward process under weak assumptions on the generator. The forward process appears both in the generator and the terminal condition.
Drapeau, Samuel, Mainberger, Christoph
openaire   +4 more sources

Least Supersolution Approach to Regularizing Free Boundary Problems [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2008
In the interesting paper under review, the author studies a free boundary problem obtained as a limit for \(\varepsilon \to 0\) of the regularizing family of semilinear elliptic equations \(\Delta u = \beta_\varepsilon(u) F(\nabla u)\), where \(\beta _\varepsilon\) approximates the Dirac delta function at the origin and \(F\) is a Lipschitz continuous ...
openaire   +2 more sources

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

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

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  

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