Results 41 to 50 of about 1,967,647 (144)

Existence result for a Kirchhoff elliptic system with variable parameters and additive right-hand side via sub- and supersolution method

open access: yesBoundary Value Problems, 2020
The paper deals with the study of the existence result for a Kirchhoff elliptic system with additive right-hand side and variable parameters by using the sub-/supersolution method. Our study is a natural extension result of our previous one in (Boulaaras
Mohamed Haiour   +3 more
doaj   +1 more source

Sub-Super Solutions Method Combined with Schauder’s Fixed Point for Existence of Positive Weak Solutions for Anisotropic Non-Local Elliptic Systems

open access: yesMathematics, 2022
In this research, we investigate the presence of weak positive solutions for a family of anisotropic non-local elliptic systems in bounded domains using the sub-super solutions approach in conjunction with Schauder’s fixed point.
Rafik Guefaifia   +5 more
doaj   +1 more source

Existence of multiple positive solutions to integral boundary value systems with boundary multiparameters

open access: yesBoundary Value Problems, 2018
We establish the existence, nonexistence, and multiplicity of positive solutions to semilinear elliptic systems with integral boundary conditions when positive multiparameters vary on the boundary.
Eunkyung Ko, Eun Kyoung Lee
doaj   +1 more source

Sub-supersolution method for quasilinear parabolic variational inequalities

open access: yesJournal of Mathematical Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carl, S., Le, Vy K.
openaire   +2 more sources

Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
In the present paper we deal with a quasilinear problem involving a singular term and a parametric superlinear perturbation. We are interested in the existence, nonexistence and multiplicity of positive solutions as the parameter $\lambda>0$ varies.
Ricardo Alves
doaj   +1 more source

Sub-supersolutions in a variational inequality related to a sandpile problem [PDF]

open access: yesThe ANZIAM Journal, 2006
AbstractIn this paper we study a variational inequality in which the principal operator is a generalised Laplacian with fast growth at infinity and slow growth at 0. By defining appropriate sub-and super-solutions, we show the existence of solutions and extremal solutions of this inequality above the subsolutions or between the sub- and super-solutions.
openaire   +1 more source

Positive stationary solutions of convection-diffusion equations for superlinear sources [PDF]

open access: yesOpuscula Mathematica, 2022
We investigate the existence and multiplicity of positive stationary solutions for acertain class of convection-diffusion equations in exterior domains.
Aleksandra Orpel
doaj   +1 more source

Existence and uniqueness of a positive solution to a rapidly growing problem via sub-supersolution method

open access: yesProceedings of the Edinburgh Mathematical Society
In this paper, we study the validity of the sub-supersolution method for the equation \begin{equation*} \begin{cases} -\mbox{div}(K(x)\nabla u)=K(x)|x|^{\alpha-2}f(x,u) \,\mbox{in } {\mathbb{R}}^{N},\\ u \gt 0 \,\mbox{in } {\mathbb{R}}^{N}, \end{cases ...
Giovany M. Figueiredo   +2 more
semanticscholar   +1 more source

Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation

open access: yesOpen Mathematics, 2020
This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
doaj   +1 more source

Approximate Reachability for Feedback Linearizable Systems

open access: yesOptimal Control Applications and Methods, EarlyView.
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu   +2 more
wiley   +1 more source

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