Results 31 to 40 of about 1,967,647 (144)

Existence and Non-Existence Results for Nonlocal Elliptic Systems via Sub-Supersolution Method

Funkcialaj Ekvacioj, 2016
In this paper, using a sub-supersolution argument, we prove an existence result on a positive weak solution for a class of nonlocal elliptic systems in bounded domains.
G. Afrouzi, N. T. Chung, S. Shakeri
semanticscholar   +3 more sources

On the Sub and Supersolution Method for Nonlinear Elliptic Equations with a Convective Term, in Orlicz Spaces

Mathematics
In this note we provide an overview of some existence (with sign information) and regularity results for differential equations, in which the method of sub and supersolutions plays an important role.
Giuseppina Barletta
doaj   +3 more sources

On the theory of entropy suband supersolutions of nonlinear degenerate parabolic equations

Современная математика: Фундаментальные направления, 2023
We consider a second-order nonlinear degenerate anisotropic parabolic equation in the case when the flux vector is only continuous and the nonnegative diffusion matrix is bounded and measurable.
E. Yu. Panov
doaj   +1 more source

Quasilinear Dirichlet Problems with Degenerated p-Laplacian and Convection Term

Mathematics, 2021
The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p-Laplacian and containing a convection term.
Dumitru Motreanu, Elisabetta Tornatore
doaj   +1 more source

Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent [PDF]

Opuscula Mathematica, 2021
We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent.
Abderrahim Charkaoui, Houda Fahim, Nour Eddine Alaa   +2 more
doaj   +1 more source

Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique [PDF]

Opuscula Mathematica, 2023
In this paper it is obtained, through variational methods and sub-supersolution arguments, existence and multiplicity of solutions for a nonhomogeneous problem which arise in several branches of science such as chemical reactions, biophysics and plasma ...
Leandro S. Tavares, J. Vanterler C. Sousa   +1 more
doaj   +1 more source

Fractional Kirchhoff-Type and Method of Sub-supersolutions

Differential Equations and Dynamical Systems, 2023
In the present paper, we are interested in investigating the existence of positive solutions of a new class of fractional Kirchhoff via the sub and supersolutions technique. For this, we first need to investigate two results through lemmas.
openaire   +3 more sources

Multiple solutions for a system involving an anisotropic variable exponent operator

Boundary Value Problems, 2022
In this paper, the existence of a solution for an anisotropic variable exponent system is obtained and proved under general hypotheses. By considering additional conditions, it is proved a multiplicity result.
Leandro S. Tavares
doaj   +1 more source

A new existence result for some nonlocal problems involving Orlicz spaces and its applications

Boundary Value Problems, 2022
This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present ...
Xiaohui Qiu, Baoqiang Yan
doaj   +1 more source

Multiplicity for a strongly singular quasilinear problem via bifurcation theory

Bulletin of Mathematical Sciences, 2023
A [Formula: see text]-Laplacian elliptic problem in the presence of both strongly singular and [Formula: see text]-superlinear nonlinearities is considered.
Jacques Giacomoni, Lais Moreira dos Santos, Carlos Alberto Santos   +2 more
doaj   +1 more source