Results 61 to 70 of about 9,197 (167)

Existence of positive radial solutions of general quasilinear elliptic systems

Advances in Nonlinear Analysis
Let Ω⊂Rn(n≥2)\Omega \subset {{\mathbb{R}}}^{n}\hspace{0.33em}\left(n\ge 2) be either an open ball BR{B}_{R} centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form Δpu=f1(∣
Devine Daniel
doaj   +1 more source

A convection-diffusion elliptic system

Rendiconti di Matematica e delle Sue Applicazioni, 2009
We study a convection-diffusion elliptic system, with Dirichlet boundary conditions. In some cases, we will prove that we have more informations (with respect to the case of a single equation) about the summability of the solutions and of their gradients, thanks to the structure of our system.
BOCCARDO, Lucio, M. ESCOBEDO
openaire   +2 more sources

Elliptic Curve Cryptography with Machine Learning

Cryptography
Elliptic Curve Cryptography (ECC) is a technology based on the arithmetic of elliptic curves used to build strong and efficient cryptosystems and infrastructures. Several ECC systems, such as the Diffie–Hellman key exchange and the Elliptic Curve Digital
Jihane Jebrane, Akram Chhaybi, Saiida Lazaar, Abderrahmane Nitaj   +3 more
doaj   +1 more source

Nonlinear eigenvalue problems with semipositone structure

Electronic Journal of Differential Equations, 2000
In this paper we summarize the developments of semipositone problems to date, including very recent results on semipositone systems. We also discuss applications and open problems.
Alfonso Castro, C. Maya, R. Shivaji
doaj  

Radial solutions for inhomogeneous biharmonic elliptic systems

Electronic Journal of Differential Equations, 2018
In this article we obtain weak radial solutions for the inhomogeneous elliptic system \displaylines{ \Delta^2u+V_{1}(| x| )| u|^{q-2}u=Q(| x| )F_{u}(u,v)\quad\text{in } \mathbb{R}^N, \cr \Delta^2v+V_2(| x| )| v|^{q-2}v=Q(| x| )F_{v}(u,v)\quad\text ...
Reginaldo Demarque, Narciso da Hora Lisboa   +1 more
doaj  

On Algebraically Integrable Differential Operators on an Elliptic Curve

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We study differential operators on an elliptic curve of order higher than 2 which are algebraically integrable (i.e., finite gap). We discuss classification of such operators of order 3 with one pole, discovering exotic operators on special elliptic ...
Pavel Etingof, Eric Rains
doaj   +1 more source

On the Fucik spectrum for elliptic systems

, 2006
We propose an extension of the concept of Fucik spectrum to the case of coupled systems of two elliptic equations, we study its structure and some applications. We show that near a simple eigenvalue of the system, the Fucik spectrum consists (after a suitable reparametrization) of two (maybe coincident) 2-dimensional surfaces.
E. Massa, B.Ruf
openaire   +2 more sources

Cotton-type and joint invariants for linear elliptic systems. [PDF]

ScientificWorldJournal, 2013
Aslam A, Mahomed FM.
europepmc   +1 more source

A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space

Electronic Journal of Differential Equations, 2002
We show that a system of quasilinear degenerate elliptic inequalities does not have non-trivial solutions for a certain range of parameters in the system.
Mokthar Kirane, Eric Nabana
doaj  

Existence and regularity of solutions for elliptic systems with mixed boundary conditions

Electronic Journal of Differential Equations
In this article we study elliptic systems involving nonstandard mixed boundary conditions in a bounded domain, possibly multiply connected. We prove the existence and uniqueness of weak and strong solutions of such problems in the Hilbert setting.
Imane Boussetouan, Cherif Amrouche
doaj