SIP Authentication Protocols Based On Elliptic Curve Cryptography: Survey and comparison

Session Initiation Protocol (SIP) is the most popular signaling protocol using in order to establish, modify and terminate the session multimedia between different participants. It was selected by the Third Generation Project Partnership (3GPP) as a multimedia application protocol in 3G mobile networks. SIP is the protocol currently used for signaling ToIP calls.  The security of SIP is becoming more and more important. Authentication is the most important security service required by SIP. To ensure a secured communication, many SIP authentication protocols have been proposed. This work provides an overview of the proposed schemes based on elliptic curve cryptography. Those proposed schemes are analyzed in security consideration and the computational cost

Existence and regularity of positive solutions for an elliptic system

In this paper, we study the existence and regularity of positive solution for an elliptic system on a bounded and regular domain. The non linearities in this equation are functions of Caratheodory type satisfying some exponential growth conditions

SIMPLICITY AND STABILITY OF THE FIRST EIGENVALUE OF A NONLINEAR ELLIPTIC SYSTEM

We prove some properties of the first eigenvalue for the elliptic system −∆pu = λ|u | α |v | βv in Ω, −∆qv = λ|u | α |v | βu in Ω,(u,v) ∈ W 1,p 0 (Ω) × W 1,q 0 (Ω). In particular, the first eigenvalue is shown to be simple. Moreover, the stability with respect to (p,q) is established. 1