Results 21 to 30 of about 1,967,647 (144)
The sub-supersolution method for Kirchhoff systems: applications [PDF]
, 2015 In this paper we prove that the sub-supersolution method works for general Kirchhoff systems. We apply the cited method to prove the existence of positive solutions for some specific models.
G. Figueiredo, A. Suárez
semanticscholar +2 more sources
Electronic Journal of Differential Equations, 2021 In this work we show the existence and multiplicity of positive solutions for a singular elliptic problem which the operator is non-linear and non-homogenous.
Suellen Cristina Q. Arruda +1 more
doaj +2 more sources
Existence of solution for a class of nonlocal elliptic problem via sub–supersolution method [PDF]
Nonlinear Analysis: Real World Applications, 2015 We show the existence of solution for some classes of nonlocal problems. Our proof combines the presence of sub and supersolution with the pseudomonotone operators theory.
Claudianor Alves, Dragos-Patru Covei
exaly +3 more sources
A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces [PDF]
Journal of Differential Equations, 2018 In the present paper we study the existence of solutions for some nonlocal problems involving Orlicz-Sobolev spaces. The approach is based on sub-supersolutions.
G. Figueiredo +3 more
semanticscholar +4 more sources
Journal of Functional Analysis, 2020 In this work we study a quasilinear elliptic problem involving the 1-laplacian operator and a gradient term. The problem requires the definition of a suitable sense of solution, which allows us to show the existence of a solution in B V ( Ω ) , having no
G. Figueiredo, M. Pimenta
semanticscholar +4 more sources
On the sub-supersolution method for p(x)-Laplacian equations
Journal of Mathematical Analysis and Applications, 2007 This paper deals with the sub-supersolution method for the p ( x ) -Laplacian equations. A sub-supersolution principle for the Dirichlet problems involving the p ( x ) -Laplacian is established.
Xianling Fan
semanticscholar +3 more sources
Existence results for some anisotropic possible singular problems via the sub-supersolution method
Studia Universitatis Babes-Bolyai MatematicaUsing the sub-super solution method, we prove the existence of the solutions for the following anisotropic problem with singularity: $$\begin{cases} -\sum\limits_{i=1}^{N} \partial_{i} \left({| \partial_{i} u \vert}^{p_{i}-2} \partial_{i} u \right) = f ...
A. El Amrouss +2 more
semanticscholar +3 more sources
The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities
Differential and Integral Equations, 2004 We generalize the sub-supersolution method known for weak solutions of single and multivalued equations to quasilinear elliptic hemivariational inequalities. To this end we first introduce our basic notion of sub- and supersolutions on the basis of which we then prove existence, comparison, compactness, and extremality results for the hemivariational ...
S. Carl, V. Le, D. Motreanu
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A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications [PDF]
Nonlinear Analysis, 2016 In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose model system is the following { − Δ u + v β | ∇ u | 2 u α = f 1 ( x , u , v ) in Ω , − Δ v + u μ | ∇ v | 2 v γ = f 2 ( x , u , v ) in
José Carmona +2 more
semanticscholar +6 more sources
Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
Electronic Journal of Differential Equations, 2004 This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations.
Vy Khoi Le, Klaus Schmitt
doaj +2 more sources