Results 121 to 130 of about 153 (146)

Weak solutions for some quasilinear elliptic equations by the sub-supersolution method

Nonlinear Analysis: Theory, Methods & Applications, 2000
The solvability of quasi-linear elliptic boundary value problems is studied. It is proved that if a sub-supersolution couple exists then the equation possesses at least one weak solution. The proof applies Leray-Schauder's fixed point theorem.
Delgado, Manuel, Suárez, Antonio
openaire   +2 more sources

A Sub-supersolutions Method for a Class of Weighted (p(.), q(.))-Laplacian Systems

2019
In this paper we study the existence of a positive weak solutions for a quasilinear elliptic system involving weighted \((p(.),q(.))-\)Laplacian operators. The approach is based on sub-supersolutions method and on fixed point theorem.
Elhoussine Azroul, Athmane Boumazourh
openaire   +1 more source

A Sub-supersolution Method for Integro-differential Semilinear Elliptic Equations and Some Applications

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Lima, Romildo N., Nóbrega, Alânnio B., Tavares, Leandro S.   +2 more
openaire   +2 more sources

Existence results for some anisotropic possible singular problems via the sub-supersolution method

Studia Universitatis Babes-Bolyai Matematica
Using 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(x,u) &\qquad\text{in $\;\;\Omega$,}\\ u>0 &\qquad\text{in $\;\;\Omega $,}\\ u=0 & ...
El Amrouss, Abdelrachid, Abdellah, Hamidi, Fouad, Kissi   +2 more
openaire   +2 more sources

Sub-supersolution method for a singular problem involving the Φ-Laplacian and Orlicz–Sobolev spaces

Complex Variables and Elliptic Equations, 2019
ABSTRACTIn this manuscript we study the existence and multiplicity of solutions for a singular equation involving Orlicz–Sobolev spaces.
Giovany M. Figueiredo, Gelson C. G. dos Santos, Leandro S. Tavares   +2 more
openaire   +1 more source

On a sub–supersolution method for variational inequalities with Leray–Lions operators in variable exponent spaces

Nonlinear Analysis: Theory, Methods & Applications, 2009
The author investigates a sub-supersolution method for a variational inequality \(\int_\varOmega A(x,\nabla u)\cdot (\nabla v -\nabla u)dx+\int_\varOmega f(x,u)( v - u)dx+\int_{\partial\varOmega} g(x,u)( v - u)dS\geq 0\;\forall v\in K\), where \(K\) is a closed subset of the Sobolev space \(W^{1,p(\cdot)}(\varOmega)\) with a variable exponent \(p(\cdot)
openaire   +2 more sources

Positive Solutions for a Kirchhoff-Type Problem Involving Orlicz Spaces via Sub-supersolution Method

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed Massar, Leandro S. Tavares
openaire   +2 more sources

A solution between sub- and supersolutions for semilinear elliptic equations with a nonlocal term in a continuous setting

Communications on Pure and Applied Analysis, 2023
Guido Sweers, Philippe Clement
exaly  

Existence of positive boundary blow-up solutions for quasilinear elliptic equations via sub and supersolutions

Applied Mathematics and Computation, 2007
Zuodong Yang
exaly  

Sub-supersolution method for problems with unbounded coefficient in the principal part

Journal of Elliptic and Parabolic Equations
Roberto Livrea, Dumitru Motreanu, Elisabetta Tornatore   +2 more
openaire   +1 more source