On an existence result for a class of -gradient elliptic systems via a fibering method

2012 ◽  
Vol 75 (16) ◽  
pp. 6009-6033 ◽  
Author(s):  
Jean Vélin
Keyword(s):  
Existence Result ◽  
Elliptic Systems ◽  
Fibering Method

scholarly journals EXISTENCE OF SOLUTIONS FOR CRITICAL SYSTEMS WITH VARIABLE EXPONENTS

2018 ◽  
Vol 23 (4) ◽  
pp. 596-610 ◽  
Author(s):  
Hadjira Lalilia ◽  
Saadia Tas ◽  
Ali Djellit
Keyword(s):  
Existence Result ◽  
Existence Of Solutions ◽  
Elliptic Systems ◽  
Growth Conditions ◽  
Critical Growth ◽  
Concentration Compactness ◽  
Variable Exponents ◽  
Critical Systems ◽  
Concentration Compactness Principle ◽  
Compactness Principle

In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. Using a variant of concentration-compactness principle, we prove an existence result.

Multiple solutions for a class of (p, q)-gradient elliptic systems via a fibering method

2014 ◽  
Vol 144 (2) ◽  
pp. 363-393 ◽  
Author(s):  
Jean Vélin
Keyword(s):  
Elliptic System ◽  
Multiple Solutions ◽  
Elliptic Systems ◽  
Fibering Method

This paper is devoted to the study of a typical (p, q)-gradient elliptic system. We discuss the existence of multiple non-trivial solutions. More precisely, we establish the existence of three non-trivial solutions, obtained by applying the fibering method introduced by Pohozaev.

scholarly journals Weak solutions for generalized p-Laplacian systems via Young measures

2018 ◽  
Vol 4 (2) ◽  
pp. 77-84 ◽  
Author(s):  
Elhoussine Azroul ◽  
Farah Balaadich
Keyword(s):  
Weak Solutions ◽  
Existence Result ◽  
Young Measure ◽  
Elliptic Systems ◽  
Young Measures ◽  
Existence Of Weak Solutions ◽  
Degenerate Form

AbstractWe prove the existence of weak solutions to a generalized p-Laplacian systems in degenerate form. The techniques of Young measure for elliptic systems are used to prove the existence result.

EXISTENCE OF SOLUTION TO NONLINEAR ELLIPTIC SYSTEMS ARISING IN TURBULENCE MODELLING

2000 ◽  
Vol 10 (02) ◽  
pp. 247-260 ◽  
Author(s):  
MACARENA GÓMEZ MÁRMOL ◽  
FRANCISCO ORTEGÓN GALLEGO
Keyword(s):  
Steady State ◽  
Turbulence Model ◽  
Existence Result ◽  
Elliptic Systems ◽  
Existence Of Solution ◽  
Turbulence Modelling ◽  
Drop Out ◽  
Nonlinear Elliptic Systems ◽  
Existence Of A Solution ◽  
Nonlinear Elliptic

We study some nonlinear elliptic systems governing the steady-state of a two-equation turbulence model that has been derived from the so-called k–ε model. Two kinds of problems are considered: in the first one, we drop out transport terms and we deduce the existence of a solution for [Formula: see text]; in the second one we take into account all transport terms; in this case, the existence result holds for N=2 or 3. Positivity and [Formula: see text]-regularity of the scalar quantities are also shown here.

scholarly journals Existence of positive solutions for nonlocal and nonvariational elliptic systems

2005 ◽  
Vol 72 (2) ◽  
pp. 271-281 ◽  
Author(s):  
Yujuan Chen ◽  
Hongjun Gao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Elliptic System ◽  
Positive Solutions ◽  
Existence Result ◽  
Elliptic Systems ◽  
Galerkin Methods ◽  
Nonlocal Source ◽  
Monotone Iteration ◽  
Existence Of Positive Solutions

In the paper we prove a result on the existence of positive solutions for a class of nonvariational elliptic system with nonlocal source by Galerkin methods and a fixed point theorem in finite dimensions. We establish another existence result by the super and subsolution method and a monotone iteration.

scholarly journals Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs

2020 ◽  
Vol 20 (4) ◽  
pp. 911-931 ◽  
Author(s):  
Stefano Biagi ◽  
Alessandro Calamai ◽  
Gennaro Infante
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Existence Result ◽  
Elliptic Systems ◽  
Existence Results ◽  
Topological Methods ◽  
Elliptic Differential Equations ◽  
Nonnegative Solutions ◽  
Functional Boundary ◽  
Functional Boundary Conditions

AbstractWe discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities. We prove the existence of nonnegative solutions and provide a non-existence result. We present some examples to illustrate the applicability of the existence and non-existence results.

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