Positive solutions of singular elliptic systems with multiple parameters and Caffarelli–Kohn–Nirenberg exponents

2015 ◽  
Vol 70 (2) ◽  
pp. 145-152
Author(s):  
G. A. Afrouzi ◽  
Vicenţiu D. Rădulescu ◽  
S. Shakeri
Keyword(s):  
Positive Solutions ◽  
Elliptic Systems ◽  
Multiple Parameters

scholarly journals A New Proof of Existence of Positive Weak Solutions for Sublinear Kirchhoff Elliptic Systems with Multiple Parameters

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-6 ◽  
Author(s):  
Salah Mahmoud Boulaaras ◽  
Rafik Guefaifia ◽  
Bahri Cherif ◽  
Sultan Alodhaibi
Keyword(s):  
Boundary Condition ◽  
Bounded Domain ◽  
Positive Solutions ◽  
Weak Solutions ◽  
Dirichlet Boundary Condition ◽  
Dirichlet Boundary ◽  
Elliptic Systems ◽  
Multiple Parameters

This paper deals with the study of the existence of weak positive solutions for sublinear Kirchhoff elliptic systems with zero Dirichlet boundary condition in bounded domain Ω⊂ℝN by using the subsuper solutions method.

Existence of positive solutions of a new class of nonlocal p⁢(x)p(x)-Kirchhoff parabolic systems via sub-super-solutions concept

2020 ◽  
Vol 26 (1) ◽  
pp. 49-58
Author(s):  
Sounia Zediri ◽  
Rafik Guefaifia ◽  
Salah Boulaaras
Keyword(s):  
Positive Solutions ◽  
Weak Solutions ◽  
Variable Exponent ◽  
Elliptic Systems ◽  
Parabolic Systems ◽  
Kirchhoff Type ◽  
Multiple Parameters ◽  
New Class ◽  
Existence Of Positive Solutions

AbstractMotivated by the idea which has been introduced by Boulaaras and Guefaifia [S. Boulaaras and R. Guefaifia, Existence of positive weak solutions for a class of Kirchhoff elliptic systems with multiple parameters, Math. Methods Appl. Sci. 41 2018, 13, 5203–5210] and by Afrouzi and Shakeri [G. A. Afrouzi, S. Shakeri and N. T. Chung, Existence of positive solutions for variable exponent elliptic systems with multiple parameters, Afr. Mat. 26 2015, 1–2, 159–168] combined with some properties of Kirchhoff-type operators, we prove the existence of positive solutions for a new class of nonlocal {p(x)}-Kirchhoff parabolic systems by using the sub- and super-solutions concept.

scholarly journals Existence of Positive Solutions for a Class of Kirrchoff Elliptic Systems with Right Hand Side Defined as a Multiplication of Two Separate Functions

2021 ◽  
Vol 45 (4) ◽  
pp. 587-596
Author(s):  
YOUCEF BOUIZEM ◽  
◽  
, SALAH BOULAARAS ◽  
BACHIR DJEBBAR ◽  
◽  
...  
Keyword(s):  
Positive Solutions ◽  
Elliptic Systems ◽  
Bounded Domains ◽  
Multiple Parameters ◽  
New Class ◽  
Right Hand ◽  
Existence Of Positive Solutions ◽  
The Right

The paper deals with the study of existence of weak positive solutions for a new class of Kirrchoff elliptic systems in bounded domains with multiple parameters, where the right hand side defined as a multiplication of two separate functions.

POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS

1993 ◽  
Vol 03 (06) ◽  
pp. 823-837 ◽  
Author(s):  
A. CAÑADA ◽  
J.L. GÁMEZ
Keyword(s):  
Positive Solutions ◽  
Nonlinear Interaction ◽  
Spatial Dependence ◽  
Global Bifurcation ◽  
Elliptic Systems ◽  
Nonlinear Elliptic Systems ◽  
Decoupling Method ◽  
Nonlinear Elliptic ◽  
Cooperative Models

In this paper we prove the existence of nonnegative and non-trivial solutions of problems of the form [Formula: see text] Our main result improves many previous results of other authors and it may be applied to study the three standard situations: competition, prey-predator and cooperative models. We also cover some other cases which, due essentially to the spatial dependence or to a nonlinear interaction, are not any of these three types. The method of proof combines a decoupling method with a global bifurcation result.

scholarly journals Quasilinear elliptic systems in divergence form associated to general nonlinearities

2018 ◽  
Vol 7 (4) ◽  
pp. 425-447 ◽  
Author(s):  
Lorenzo D’Ambrosio ◽  
Enzo Mitidieri
Keyword(s):  
Positive Solutions ◽  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Systems ◽  
Divergence Form ◽  
Systems Of Equations ◽  
Quasilinear Elliptic Systems ◽  
Open Set ◽  
Priori Estimates ◽  
Quasilinear Elliptic

AbstractThe paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of {\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local assumption near zero. As a consequence, in the case {\Omega=\mathbb{R}^{N}}, we obtain nonexistence theorems of positive solutions. No hypotheses on the solutions at infinity are assumed.

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